Finding the Fourth Proportional to 9,082.40, 12,533.82 and 5,497.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,082.40 : 12,533.82 = 5,497.31 : x
2. Step 2: Convert to fraction form
   9,082.40/12,533.82 = 5,497.31/x
3. Step 3: Cross multiply
   9,082.40x = 12,533.82 × 5,497.31
4. Step 4: Simplify right side
   9,082.40x = 68,902,294.02
5. Step 5: Solve for x
   x = 68,902,294.02/9,082.40
6. Step 6: Final answer
   x = 7,586.36