Finding the Fourth Proportional to 10,401.77, 14,354.51 and 5,686.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.77 : 14,354.51 = 5,686.07 : x
2. Step 2: Convert to fraction form
   10,401.77/14,354.51 = 5,686.07/x
3. Step 3: Cross multiply
   10,401.77x = 14,354.51 × 5,686.07
4. Step 4: Simplify right side
   10,401.77x = 81,620,648.47
5. Step 5: Solve for x
   x = 81,620,648.47/10,401.77
6. Step 6: Final answer
   x = 7,846.80