Finding the Fourth Proportional to 2,540.16, 3,808.42 and 1,152.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,540.16 : 3,808.42 = 1,152.80 : x
2. Step 2: Convert to fraction form
   2,540.16/3,808.42 = 1,152.80/x
3. Step 3: Cross multiply
   2,540.16x = 3,808.42 × 1,152.80
4. Step 4: Simplify right side
   2,540.16x = 4,390,338.93
5. Step 5: Solve for x
   x = 4,390,338.93/2,540.16
6. Step 6: Final answer
   x = 1,728.37