Finding the Fourth Proportional to 10,392.92, 14,342.24 and 5,677.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,392.92 : 14,342.24 = 5,677.08 : x
2. Step 2: Convert to fraction form
   10,392.92/14,342.24 = 5,677.08/x
3. Step 3: Cross multiply
   10,392.92x = 14,342.24 × 5,677.08
4. Step 4: Simplify right side
   10,392.92x = 81,422,043.86
5. Step 5: Solve for x
   x = 81,422,043.86/10,392.92
6. Step 6: Final answer
   x = 7,834.38