Finding the Fourth Proportional to 5,180.76, 7,767.50 and 2,581.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,180.76 : 7,767.50 = 2,581.88 : x
2. Step 2: Convert to fraction form
   5,180.76/7,767.50 = 2,581.88/x
3. Step 3: Cross multiply
   5,180.76x = 7,767.50 × 2,581.88
4. Step 4: Simplify right side
   5,180.76x = 20,054,701.15
5. Step 5: Solve for x
   x = 20,054,701.15/5,180.76
6. Step 6: Final answer
   x = 3,871.00