Finding the Fourth Proportional to 10,381.71, 14,326.77 and 5,665.99

Step by Step Solution

1. Step 1: Write the proportion equation
   10,381.71 : 14,326.77 = 5,665.99 : x
2. Step 2: Convert to fraction form
   10,381.71/14,326.77 = 5,665.99/x
3. Step 3: Cross multiply
   10,381.71x = 14,326.77 × 5,665.99
4. Step 4: Simplify right side
   10,381.71x = 81,175,388.14
5. Step 5: Solve for x
   x = 81,175,388.14/10,381.71
6. Step 6: Final answer
   x = 7,819.08