Finding the Fourth Proportional to 2,048.46, 2,826.77 and 1,164.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,048.46 : 2,826.77 = 1,164.24 : x
2. Step 2: Convert to fraction form
   2,048.46/2,826.77 = 1,164.24/x
3. Step 3: Cross multiply
   2,048.46x = 2,826.77 × 1,164.24
4. Step 4: Simplify right side
   2,048.46x = 3,291,038.70
5. Step 5: Solve for x
   x = 3,291,038.70/2,048.46
6. Step 6: Final answer
   x = 1,606.59