Finding the Fourth Proportional to 14,360.64, 21,538.24 and 3,830.72

Step by Step Solution

1. Step 1: Write the proportion equation
   14,360.64 : 21,538.24 = 3,830.72 : x
2. Step 2: Convert to fraction form
   14,360.64/21,538.24 = 3,830.72/x
3. Step 3: Cross multiply
   14,360.64x = 21,538.24 × 3,830.72
4. Step 4: Simplify right side
   14,360.64x = 82,506,966.73
5. Step 5: Solve for x
   x = 82,506,966.73/14,360.64
6. Step 6: Final answer
   x = 5,745.35