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Finding the Fourth Proportional to 1,192.11, 1,643.53 and 978.64

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Solution

The fourth proportional to 1,192.11, 1,643.53 and 978.64 is: 1,349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.11 : 1,643.53 = 978.64 : x
  2. Step 2: Convert to fraction form
    1,192.11/1,643.53 = 978.64/x
  3. Step 3: Cross multiply
    1,192.11x = 1,643.53 × 978.64
  4. Step 4: Simplify right side
    1,192.11x = 1,608,424.20
  5. Step 5: Solve for x
    x = 1,608,424.20/1,192.11
  6. Step 6: Final answer
    x = 1,349.22

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