Finding the Fourth Proportional to 2,510.04, 3,768.84 and 1,540.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,510.04 : 3,768.84 = 1,540.20 : x
2. Step 2: Convert to fraction form
   2,510.04/3,768.84 = 1,540.20/x
3. Step 3: Cross multiply
   2,510.04x = 3,768.84 × 1,540.20
4. Step 4: Simplify right side
   2,510.04x = 5,804,767.37
5. Step 5: Solve for x
   x = 5,804,767.37/2,510.04
6. Step 6: Final answer
   x = 2,312.62