Finding the Fourth Proportional to 3,824.61, 5,724.15 and 2,180.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,824.61 : 5,724.15 = 2,180.72 : x
2. Step 2: Convert to fraction form
   3,824.61/5,724.15 = 2,180.72/x
3. Step 3: Cross multiply
   3,824.61x = 5,724.15 × 2,180.72
4. Step 4: Simplify right side
   3,824.61x = 12,482,734.32
5. Step 5: Solve for x
   x = 12,482,734.32/3,824.61
6. Step 6: Final answer
   x = 3,263.80