Finding the Fourth Proportional to 9,377.71, 14,061.23 and 3,824.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,377.71 : 14,061.23 = 3,824.55 : x
2. Step 2: Convert to fraction form
   9,377.71/14,061.23 = 3,824.55/x
3. Step 3: Cross multiply
   9,377.71x = 14,061.23 × 3,824.55
4. Step 4: Simplify right side
   9,377.71x = 53,777,877.20
5. Step 5: Solve for x
   x = 53,777,877.20/9,377.71
6. Step 6: Final answer
   x = 5,734.65