Finding the Fourth Proportional to 10,381.50, 14,326.52 and 5,665.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,381.50 : 14,326.52 = 5,665.82 : x
2. Step 2: Convert to fraction form
   10,381.50/14,326.52 = 5,665.82/x
3. Step 3: Cross multiply
   10,381.50x = 14,326.52 × 5,665.82
4. Step 4: Simplify right side
   10,381.50x = 81,171,383.58
5. Step 5: Solve for x
   x = 81,171,383.58/10,381.50
6. Step 6: Final answer
   x = 7,818.85