Finding the Fourth Proportional to 1,948.92, 2,689.59 and 1,109.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,948.92 : 2,689.59 = 1,109.78 : x
2. Step 2: Convert to fraction form
   1,948.92/2,689.59 = 1,109.78/x
3. Step 3: Cross multiply
   1,948.92x = 2,689.59 × 1,109.78
4. Step 4: Simplify right side
   1,948.92x = 2,984,839.74
5. Step 5: Solve for x
   x = 2,984,839.74/1,948.92
6. Step 6: Final answer
   x = 1,531.54