Finding the Fourth Proportional to 1,066.77, 1,471.81 and 624.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.77 : 1,471.81 = 624.62 : x
2. Step 2: Convert to fraction form
   1,066.77/1,471.81 = 624.62/x
3. Step 3: Cross multiply
   1,066.77x = 1,471.81 × 624.62
4. Step 4: Simplify right side
   1,066.77x = 919,321.96
5. Step 5: Solve for x
   x = 919,321.96/1,066.77
6. Step 6: Final answer
   x = 861.78