Finding the Fourth Proportional to 2,105.80, 2,906.00 and 1,148.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,105.80 : 2,906.00 = 1,148.72 : x
2. Step 2: Convert to fraction form
   2,105.80/2,906.00 = 1,148.72/x
3. Step 3: Cross multiply
   2,105.80x = 2,906.00 × 1,148.72
4. Step 4: Simplify right side
   2,105.80x = 3,338,175.25
5. Step 5: Solve for x
   x = 3,338,175.25/2,105.80
6. Step 6: Final answer
   x = 1,585.23