Finding the Fourth Proportional to 6,401.79, 9,596.82 and 5,420.91

Step by Step Solution

1. Step 1: Write the proportion equation
   6,401.79 : 9,596.82 = 5,420.91 : x
2. Step 2: Convert to fraction form
   6,401.79/9,596.82 = 5,420.91/x
3. Step 3: Cross multiply
   6,401.79x = 9,596.82 × 5,420.91
4. Step 4: Simplify right side
   6,401.79x = 52,023,553.82
5. Step 5: Solve for x
   x = 52,023,553.82/6,401.79
6. Step 6: Final answer
   x = 8,126.41