Finding the Fourth Proportional to 1,158.50, 1,598.54 and 765.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,158.50 : 1,598.54 = 765.32 : x
2. Step 2: Convert to fraction form
   1,158.50/1,598.54 = 765.32/x
3. Step 3: Cross multiply
   1,158.50x = 1,598.54 × 765.32
4. Step 4: Simplify right side
   1,158.50x = 1,223,382.81
5. Step 5: Solve for x
   x = 1,223,382.81/1,158.50
6. Step 6: Final answer
   x = 1,056.00