Finding the Fourth Proportional to 9,311.29, 12,852.31 and 5,537.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,311.29 : 12,852.31 = 5,537.12 : x
2. Step 2: Convert to fraction form
   9,311.29/12,852.31 = 5,537.12/x
3. Step 3: Cross multiply
   9,311.29x = 12,852.31 × 5,537.12
4. Step 4: Simplify right side
   9,311.29x = 71,164,690.80
5. Step 5: Solve for x
   x = 71,164,690.80/9,311.29
6. Step 6: Final answer
   x = 7,642.84