Finding the Fourth Proportional to 1,151.52, 1,585.86 and 1,147.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.52 : 1,585.86 = 1,147.92 : x
2. Step 2: Convert to fraction form
   1,151.52/1,585.86 = 1,147.92/x
3. Step 3: Cross multiply
   1,151.52x = 1,585.86 × 1,147.92
4. Step 4: Simplify right side
   1,151.52x = 1,820,440.41
5. Step 5: Solve for x
   x = 1,820,440.41/1,151.52
6. Step 6: Final answer
   x = 1,580.90