Finding the Fourth Proportional to 1,065.30, 1,470.79 and 729.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065.30 : 1,470.79 = 729.77 : x
2. Step 2: Convert to fraction form
   1,065.30/1,470.79 = 729.77/x
3. Step 3: Cross multiply
   1,065.30x = 1,470.79 × 729.77
4. Step 4: Simplify right side
   1,065.30x = 1,073,338.42
5. Step 5: Solve for x
   x = 1,073,338.42/1,065.30
6. Step 6: Final answer
   x = 1,007.55