Finding the Fourth Proportional to 2,046.50, 2,824.17 and 1,115.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,046.50 : 2,824.17 = 1,115.06 : x
2. Step 2: Convert to fraction form
   2,046.50/2,824.17 = 1,115.06/x
3. Step 3: Cross multiply
   2,046.50x = 2,824.17 × 1,115.06
4. Step 4: Simplify right side
   2,046.50x = 3,149,119.00
5. Step 5: Solve for x
   x = 3,149,119.00/2,046.50
6. Step 6: Final answer
   x = 1,538.78