Finding the Fourth Proportional to 2,048.29, 2,826.64 and 1,152.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,048.29 : 2,826.64 = 1,152.08 : x
2. Step 2: Convert to fraction form
   2,048.29/2,826.64 = 1,152.08/x
3. Step 3: Cross multiply
   2,048.29x = 2,826.64 × 1,152.08
4. Step 4: Simplify right side
   2,048.29x = 3,256,498.40
5. Step 5: Solve for x
   x = 3,256,498.40/2,048.29
6. Step 6: Final answer
   x = 1,589.86