Finding the Fourth Proportional to 10,392.75, 14,342.31 and 5,677.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,392.75 : 14,342.31 = 5,677.34 : x
2. Step 2: Convert to fraction form
   10,392.75/14,342.31 = 5,677.34/x
3. Step 3: Cross multiply
   10,392.75x = 14,342.31 × 5,677.34
4. Step 4: Simplify right side
   10,392.75x = 81,426,098.54
5. Step 5: Solve for x
   x = 81,426,098.54/10,392.75
6. Step 6: Final answer
   x = 7,834.89