Finding the Fourth Proportional to 10,380.96, 14,326.02 and 5,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,380.96 : 14,326.02 = 5,665.50 : x
2. Step 2: Convert to fraction form
   10,380.96/14,326.02 = 5,665.50/x
3. Step 3: Cross multiply
   10,380.96x = 14,326.02 × 5,665.50
4. Step 4: Simplify right side
   10,380.96x = 81,164,066.31
5. Step 5: Solve for x
   x = 81,164,066.31/10,380.96
6. Step 6: Final answer
   x = 7,818.55