Finding the Fourth Proportional to 12,853.28, 17,742.42 and 8,378.12

Step by Step Solution

1. Step 1: Write the proportion equation
   12,853.28 : 17,742.42 = 8,378.12 : x
2. Step 2: Convert to fraction form
   12,853.28/17,742.42 = 8,378.12/x
3. Step 3: Cross multiply
   12,853.28x = 17,742.42 × 8,378.12
4. Step 4: Simplify right side
   12,853.28x = 148,648,123.85
5. Step 5: Solve for x
   x = 148,648,123.85/12,853.28
6. Step 6: Final answer
   x = 11,565.00