Finding the Fourth Proportional to 6,401.10, 9,558.39 and 5,537.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,401.10 : 9,558.39 = 5,537.10 : x
2. Step 2: Convert to fraction form
   6,401.10/9,558.39 = 5,537.10/x
3. Step 3: Cross multiply
   6,401.10x = 9,558.39 × 5,537.10
4. Step 4: Simplify right side
   6,401.10x = 52,925,761.27
5. Step 5: Solve for x
   x = 52,925,761.27/6,401.10
6. Step 6: Final answer
   x = 8,268.23