Finding the Fourth Proportional to 1,153.56, 1,591.41 and 711.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.56 : 1,591.41 = 711.30 : x
2. Step 2: Convert to fraction form
   1,153.56/1,591.41 = 711.30/x
3. Step 3: Cross multiply
   1,153.56x = 1,591.41 × 711.30
4. Step 4: Simplify right side
   1,153.56x = 1,131,969.93
5. Step 5: Solve for x
   x = 1,131,969.93/1,153.56
6. Step 6: Final answer
   x = 981.28