Finding the Fourth Proportional to 14,667.32, 21,984.24 and 5,896.64

Step by Step Solution

1. Step 1: Write the proportion equation
   14,667.32 : 21,984.24 = 5,896.64 : x
2. Step 2: Convert to fraction form
   14,667.32/21,984.24 = 5,896.64/x
3. Step 3: Cross multiply
   14,667.32x = 21,984.24 × 5,896.64
4. Step 4: Simplify right side
   14,667.32x = 129,633,148.95
5. Step 5: Solve for x
   x = 129,633,148.95/14,667.32
6. Step 6: Final answer
   x = 8,838.23