Finding the Fourth Proportional to 17,765.76, 24,517.52 and 10,214.52

Step by Step Solution

1. Step 1: Write the proportion equation
   17,765.76 : 24,517.52 = 10,214.52 : x
2. Step 2: Convert to fraction form
   17,765.76/24,517.52 = 10,214.52/x
3. Step 3: Cross multiply
   17,765.76x = 24,517.52 × 10,214.52
4. Step 4: Simplify right side
   17,765.76x = 250,434,698.39
5. Step 5: Solve for x
   x = 250,434,698.39/17,765.76
6. Step 6: Final answer
   x = 14,096.48