Finding the Fourth Proportional to 3,766.56, 5,191.47 and 2,880.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,766.56 : 5,191.47 = 2,880.42 : x
2. Step 2: Convert to fraction form
   3,766.56/5,191.47 = 2,880.42/x
3. Step 3: Cross multiply
   3,766.56x = 5,191.47 × 2,880.42
4. Step 4: Simplify right side
   3,766.56x = 14,953,614.02
5. Step 5: Solve for x
   x = 14,953,614.02/3,766.56
6. Step 6: Final answer
   x = 3,970.10