Finding the Fourth Proportional to 10,445.52, 14,414.75 and 5,665.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,445.52 : 14,414.75 = 5,665.47 : x
2. Step 2: Convert to fraction form
   10,445.52/14,414.75 = 5,665.47/x
3. Step 3: Cross multiply
   10,445.52x = 14,414.75 × 5,665.47
4. Step 4: Simplify right side
   10,445.52x = 81,666,323.05
5. Step 5: Solve for x
   x = 81,666,323.05/10,445.52
6. Step 6: Final answer
   x = 7,818.31