Finding the Fourth Proportional to 10,154.28, 14,012.22 and 5,677.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,154.28 : 14,012.22 = 5,677.80 : x
2. Step 2: Convert to fraction form
   10,154.28/14,012.22 = 5,677.80/x
3. Step 3: Cross multiply
   10,154.28x = 14,012.22 × 5,677.80
4. Step 4: Simplify right side
   10,154.28x = 79,558,582.72
5. Step 5: Solve for x
   x = 79,558,582.72/10,154.28
6. Step 6: Final answer
   x = 7,834.98