Finding the Fourth Proportional to 10,392.86, 14,342.73 and 5,677.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,392.86 : 14,342.73 = 5,677.22 : x
2. Step 2: Convert to fraction form
   10,392.86/14,342.73 = 5,677.22/x
3. Step 3: Cross multiply
   10,392.86x = 14,342.73 × 5,677.22
4. Step 4: Simplify right side
   10,392.86x = 81,426,833.61
5. Step 5: Solve for x
   x = 81,426,833.61/10,392.86
6. Step 6: Final answer
   x = 7,834.88