Finding the Fourth Proportional to 1,061.89, 1,464.95 and 729.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.89 : 1,464.95 = 729.74 : x
2. Step 2: Convert to fraction form
   1,061.89/1,464.95 = 729.74/x
3. Step 3: Cross multiply
   1,061.89x = 1,464.95 × 729.74
4. Step 4: Simplify right side
   1,061.89x = 1,069,038.10
5. Step 5: Solve for x
   x = 1,069,038.10/1,061.89
6. Step 6: Final answer
   x = 1,006.73