Finding the Fourth Proportional to 1,061.66, 1,465.77 and 729.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.66 : 1,465.77 = 729.98 : x
2. Step 2: Convert to fraction form
   1,061.66/1,465.77 = 729.98/x
3. Step 3: Cross multiply
   1,061.66x = 1,465.77 × 729.98
4. Step 4: Simplify right side
   1,061.66x = 1,069,982.78
5. Step 5: Solve for x
   x = 1,069,982.78/1,061.66
6. Step 6: Final answer
   x = 1,007.84