Finding the Fourth Proportional to 10,154.26, 14,011.98 and 5,677.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,154.26 : 14,011.98 = 5,677.42 : x
2. Step 2: Convert to fraction form
   10,154.26/14,011.98 = 5,677.42/x
3. Step 3: Cross multiply
   10,154.26x = 14,011.98 × 5,677.42
4. Step 4: Simplify right side
   10,154.26x = 79,551,895.49
5. Step 5: Solve for x
   x = 79,551,895.49/10,154.26
6. Step 6: Final answer
   x = 7,834.34