Finding the Fourth Proportional to 1,019.31, 1,529.97 and 471.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.31 : 1,529.97 = 471.61 : x
2. Step 2: Convert to fraction form
   1,019.31/1,529.97 = 471.61/x
3. Step 3: Cross multiply
   1,019.31x = 1,529.97 × 471.61
4. Step 4: Simplify right side
   1,019.31x = 721,549.15
5. Step 5: Solve for x
   x = 721,549.15/1,019.31
6. Step 6: Final answer
   x = 707.88