Finding the Fourth Proportional to 9,717.72, 14,577.49 and 3,874.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,717.72 : 14,577.49 = 3,874.78 : x
2. Step 2: Convert to fraction form
   9,717.72/14,577.49 = 3,874.78/x
3. Step 3: Cross multiply
   9,717.72x = 14,577.49 × 3,874.78
4. Step 4: Simplify right side
   9,717.72x = 56,484,589.77
5. Step 5: Solve for x
   x = 56,484,589.77/9,717.72
6. Step 6: Final answer
   x = 5,812.54