Finding the Fourth Proportional to 2,586.69, 3,877.76 and 1,027.79

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.69 : 3,877.76 = 1,027.79 : x
2. Step 2: Convert to fraction form
   2,586.69/3,877.76 = 1,027.79/x
3. Step 3: Cross multiply
   2,586.69x = 3,877.76 × 1,027.79
4. Step 4: Simplify right side
   2,586.69x = 3,985,522.95
5. Step 5: Solve for x
   x = 3,985,522.95/2,586.69
6. Step 6: Final answer
   x = 1,540.78