Finding the Fourth Proportional to 14,256.18, 21,381.84 and 3,865.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,256.18 : 21,381.84 = 3,865.50 : x
2. Step 2: Convert to fraction form
   14,256.18/21,381.84 = 3,865.50/x
3. Step 3: Cross multiply
   14,256.18x = 21,381.84 × 3,865.50
4. Step 4: Simplify right side
   14,256.18x = 82,651,502.52
5. Step 5: Solve for x
   x = 82,651,502.52/14,256.18
6. Step 6: Final answer
   x = 5,797.59