Finding the Fourth Proportional to 10,392.70, 14,341.98 and 5,677

Step by Step Solution

1. Step 1: Write the proportion equation
   10,392.70 : 14,341.98 = 5,677 : x
2. Step 2: Convert to fraction form
   10,392.70/14,341.98 = 5,677/x
3. Step 3: Cross multiply
   10,392.70x = 14,341.98 × 5,677
4. Step 4: Simplify right side
   10,392.70x = 81,419,420.46
5. Step 5: Solve for x
   x = 81,419,420.46/10,392.70
6. Step 6: Final answer
   x = 7,834.29