Finding the Fourth Proportional to 10,401.86, 14,355.56 and 5,686.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.86 : 14,355.56 = 5,686.85 : x
2. Step 2: Convert to fraction form
   10,401.86/14,355.56 = 5,686.85/x
3. Step 3: Cross multiply
   10,401.86x = 14,355.56 × 5,686.85
4. Step 4: Simplify right side
   10,401.86x = 81,637,916.39
5. Step 5: Solve for x
   x = 81,637,916.39/10,401.86
6. Step 6: Final answer
   x = 7,848.40