Finding the Fourth Proportional to 1,153.31, 1,592.33 and 711.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.31 : 1,592.33 = 711.86 : x
2. Step 2: Convert to fraction form
   1,153.31/1,592.33 = 711.86/x
3. Step 3: Cross multiply
   1,153.31x = 1,592.33 × 711.86
4. Step 4: Simplify right side
   1,153.31x = 1,133,504.51
5. Step 5: Solve for x
   x = 1,133,504.51/1,153.31
6. Step 6: Final answer
   x = 982.83