Finding the Fourth Proportional to 10,382.21, 14,327.51 and 5,666.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,382.21 : 14,327.51 = 5,666.52 : x
2. Step 2: Convert to fraction form
   10,382.21/14,327.51 = 5,666.52/x
3. Step 3: Cross multiply
   10,382.21x = 14,327.51 × 5,666.52
4. Step 4: Simplify right side
   10,382.21x = 81,187,093.63
5. Step 5: Solve for x
   x = 81,187,093.63/10,382.21
6. Step 6: Final answer
   x = 7,819.83