Finding the Fourth Proportional to 3,767.59, 5,200.23 and 2,510.74

Step by Step Solution

1. Step 1: Write the proportion equation
   3,767.59 : 5,200.23 = 2,510.74 : x
2. Step 2: Convert to fraction form
   3,767.59/5,200.23 = 2,510.74/x
3. Step 3: Cross multiply
   3,767.59x = 5,200.23 × 2,510.74
4. Step 4: Simplify right side
   3,767.59x = 13,056,425.47
5. Step 5: Solve for x
   x = 13,056,425.47/3,767.59
6. Step 6: Final answer
   x = 3,465.46