Finding the Fourth Proportional to 2,505.86, 3,760.07 and 1,026.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.86 : 3,760.07 = 1,026.16 : x
2. Step 2: Convert to fraction form
   2,505.86/3,760.07 = 1,026.16/x
3. Step 3: Cross multiply
   2,505.86x = 3,760.07 × 1,026.16
4. Step 4: Simplify right side
   2,505.86x = 3,858,433.43
5. Step 5: Solve for x
   x = 3,858,433.43/2,505.86
6. Step 6: Final answer
   x = 1,539.76