Finding the Fourth Proportional to 2,502.88, 3,754.37 and 771.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,502.88 : 3,754.37 = 771.50 : x
2. Step 2: Convert to fraction form
   2,502.88/3,754.37 = 771.50/x
3. Step 3: Cross multiply
   2,502.88x = 3,754.37 × 771.50
4. Step 4: Simplify right side
   2,502.88x = 2,896,492.60
5. Step 5: Solve for x
   x = 2,896,492.60/2,502.88
6. Step 6: Final answer
   x = 1,157.27