Finding the Fourth Proportional to 2,078.86, 3,116.94 and 1,024.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,078.86 : 3,116.94 = 1,024.56 : x
2. Step 2: Convert to fraction form
   2,078.86/3,116.94 = 1,024.56/x
3. Step 3: Cross multiply
   2,078.86x = 3,116.94 × 1,024.56
4. Step 4: Simplify right side
   2,078.86x = 3,193,492.05
5. Step 5: Solve for x
   x = 3,193,492.05/2,078.86
6. Step 6: Final answer
   x = 1,536.17