Finding the Fourth Proportional to 1,066.14, 1,470.96 and 624.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.14 : 1,470.96 = 624.06 : x
2. Step 2: Convert to fraction form
   1,066.14/1,470.96 = 624.06/x
3. Step 3: Cross multiply
   1,066.14x = 1,470.96 × 624.06
4. Step 4: Simplify right side
   1,066.14x = 917,967.30
5. Step 5: Solve for x
   x = 917,967.30/1,066.14
6. Step 6: Final answer
   x = 861.02