Finding the Fourth Proportional to 1,059.24, 1,462.05 and 728.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.24 : 1,462.05 = 728.49 : x
2. Step 2: Convert to fraction form
   1,059.24/1,462.05 = 728.49/x
3. Step 3: Cross multiply
   1,059.24x = 1,462.05 × 728.49
4. Step 4: Simplify right side
   1,059.24x = 1,065,088.80
5. Step 5: Solve for x
   x = 1,065,088.80/1,059.24
6. Step 6: Final answer
   x = 1,005.52