Finding the Fourth Proportional to 10,401.77, 14,354.46 and 5,686.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.77 : 14,354.46 = 5,686.08 : x
2. Step 2: Convert to fraction form
   10,401.77/14,354.46 = 5,686.08/x
3. Step 3: Cross multiply
   10,401.77x = 14,354.46 × 5,686.08
4. Step 4: Simplify right side
   10,401.77x = 81,620,607.92
5. Step 5: Solve for x
   x = 81,620,607.92/10,401.77
6. Step 6: Final answer
   x = 7,846.80