Finding the Fourth Proportional to 1,151.16, 1,588.56 and 653.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.16 : 1,588.56 = 653.82 : x
2. Step 2: Convert to fraction form
   1,151.16/1,588.56 = 653.82/x
3. Step 3: Cross multiply
   1,151.16x = 1,588.56 × 653.82
4. Step 4: Simplify right side
   1,151.16x = 1,038,632.30
5. Step 5: Solve for x
   x = 1,038,632.30/1,151.16
6. Step 6: Final answer
   x = 902.25