Finding the Fourth Proportional to 2,109.78, 3,160.62 and 1,012.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.78 : 3,160.62 = 1,012.77 : x
2. Step 2: Convert to fraction form
   2,109.78/3,160.62 = 1,012.77/x
3. Step 3: Cross multiply
   2,109.78x = 3,160.62 × 1,012.77
4. Step 4: Simplify right side
   2,109.78x = 3,200,981.12
5. Step 5: Solve for x
   x = 3,200,981.12/2,109.78
6. Step 6: Final answer
   x = 1,517.21