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Finding the Fourth Proportional to 3,658.82, 5,488.76 and 1,192.84

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Solution

The fourth proportional to 3,658.82, 5,488.76 and 1,192.84 is: 1,789.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.82 : 5,488.76 = 1,192.84 : x
  2. Step 2: Convert to fraction form
    3,658.82/5,488.76 = 1,192.84/x
  3. Step 3: Cross multiply
    3,658.82x = 5,488.76 × 1,192.84
  4. Step 4: Simplify right side
    3,658.82x = 6,547,212.48
  5. Step 5: Solve for x
    x = 6,547,212.48/3,658.82
  6. Step 6: Final answer
    x = 1,789.43

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