Finding the Fourth Proportional to 10,414.42, 14,371.86 and 5,634.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.42 : 14,371.86 = 5,634.37 : x
2. Step 2: Convert to fraction form
   10,414.42/14,371.86 = 5,634.37/x
3. Step 3: Cross multiply
   10,414.42x = 14,371.86 × 5,634.37
4. Step 4: Simplify right side
   10,414.42x = 80,976,376.83
5. Step 5: Solve for x
   x = 80,976,376.83/10,414.42
6. Step 6: Final answer
   x = 7,775.41