Finding the Fourth Proportional to 9,732.24, 14,577.57 and 4,178.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,732.24 : 14,577.57 = 4,178.34 : x
2. Step 2: Convert to fraction form
   9,732.24/14,577.57 = 4,178.34/x
3. Step 3: Cross multiply
   9,732.24x = 14,577.57 × 4,178.34
4. Step 4: Simplify right side
   9,732.24x = 60,910,043.83
5. Step 5: Solve for x
   x = 60,910,043.83/9,732.24
6. Step 6: Final answer
   x = 6,258.58