Finding the Fourth Proportional to 1,150.71, 1,588.35 and 653.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.71 : 1,588.35 = 653.69 : x
2. Step 2: Convert to fraction form
   1,150.71/1,588.35 = 653.69/x
3. Step 3: Cross multiply
   1,150.71x = 1,588.35 × 653.69
4. Step 4: Simplify right side
   1,150.71x = 1,038,288.51
5. Step 5: Solve for x
   x = 1,038,288.51/1,150.71
6. Step 6: Final answer
   x = 902.30