Finding the Fourth Proportional to 2,510.10, 3,760.83 and 1,778.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,510.10 : 3,760.83 = 1,778.49 : x
2. Step 2: Convert to fraction form
   2,510.10/3,760.83 = 1,778.49/x
3. Step 3: Cross multiply
   2,510.10x = 3,760.83 × 1,778.49
4. Step 4: Simplify right side
   2,510.10x = 6,688,598.55
5. Step 5: Solve for x
   x = 6,688,598.55/2,510.10
6. Step 6: Final answer
   x = 2,664.67