Finding the Fourth Proportional to 6,401.17, 9,595.89 and 5,420.29

Step by Step Solution

1. Step 1: Write the proportion equation
   6,401.17 : 9,595.89 = 5,420.29 : x
2. Step 2: Convert to fraction form
   6,401.17/9,595.89 = 5,420.29/x
3. Step 3: Cross multiply
   6,401.17x = 9,595.89 × 5,420.29
4. Step 4: Simplify right side
   6,401.17x = 52,012,479.51
5. Step 5: Solve for x
   x = 52,012,479.51/6,401.17
6. Step 6: Final answer
   x = 8,125.47