Finding the Fourth Proportional to 1,066.68, 1,471.83 and 624.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.68 : 1,471.83 = 624.57 : x
2. Step 2: Convert to fraction form
   1,066.68/1,471.83 = 624.57/x
3. Step 3: Cross multiply
   1,066.68x = 1,471.83 × 624.57
4. Step 4: Simplify right side
   1,066.68x = 919,260.86
5. Step 5: Solve for x
   x = 919,260.86/1,066.68
6. Step 6: Final answer
   x = 861.80