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Finding the Fourth Proportional to 6,978, 10,468.54 and 2,299.45

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Solution

The fourth proportional to 6,978, 10,468.54 and 2,299.45 is: 3,449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978 : 10,468.54 = 2,299.45 : x
  2. Step 2: Convert to fraction form
    6,978/10,468.54 = 2,299.45/x
  3. Step 3: Cross multiply
    6,978x = 10,468.54 × 2,299.45
  4. Step 4: Simplify right side
    6,978x = 24,071,884.30
  5. Step 5: Solve for x
    x = 24,071,884.30/6,978
  6. Step 6: Final answer
    x = 3,449.68

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