Finding the Fourth Proportional to 10,152.28, 14,011.20 and 5,677.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152.28 : 14,011.20 = 5,677.60 : x
2. Step 2: Convert to fraction form
   10,152.28/14,011.20 = 5,677.60/x
3. Step 3: Cross multiply
   10,152.28x = 14,011.20 × 5,677.60
4. Step 4: Simplify right side
   10,152.28x = 79,549,989.12
5. Step 5: Solve for x
   x = 79,549,989.12/10,152.28
6. Step 6: Final answer
   x = 7,835.68