Finding the Fourth Proportional to 9,442.58, 14,144.42 and 5,537.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,442.58 : 14,144.42 = 5,537.57 : x
2. Step 2: Convert to fraction form
   9,442.58/14,144.42 = 5,537.57/x
3. Step 3: Cross multiply
   9,442.58x = 14,144.42 × 5,537.57
4. Step 4: Simplify right side
   9,442.58x = 78,325,688.17
5. Step 5: Solve for x
   x = 78,325,688.17/9,442.58
6. Step 6: Final answer
   x = 8,294.95