Finding the Fourth Proportional to 10,393.10, 14,341.80 and 5,677.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,393.10 : 14,341.80 = 5,677.37 : x
2. Step 2: Convert to fraction form
   10,393.10/14,341.80 = 5,677.37/x
3. Step 3: Cross multiply
   10,393.10x = 14,341.80 × 5,677.37
4. Step 4: Simplify right side
   10,393.10x = 81,423,740.92
5. Step 5: Solve for x
   x = 81,423,740.92/10,393.10
6. Step 6: Final answer
   x = 7,834.41