Finding the Fourth Proportional to 10,401.84, 14,355.52 and 5,686.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.84 : 14,355.52 = 5,686.83 : x
2. Step 2: Convert to fraction form
   10,401.84/14,355.52 = 5,686.83/x
3. Step 3: Cross multiply
   10,401.84x = 14,355.52 × 5,686.83
4. Step 4: Simplify right side
   10,401.84x = 81,637,387.58
5. Step 5: Solve for x
   x = 81,637,387.58/10,401.84
6. Step 6: Final answer
   x = 7,848.36