Finding the Fourth Proportional to 2,048.50, 2,826.91 and 1,164.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,048.50 : 2,826.91 = 1,164.58 : x
2. Step 2: Convert to fraction form
   2,048.50/2,826.91 = 1,164.58/x
3. Step 3: Cross multiply
   2,048.50x = 2,826.91 × 1,164.58
4. Step 4: Simplify right side
   2,048.50x = 3,292,162.85
5. Step 5: Solve for x
   x = 3,292,162.85/2,048.50
6. Step 6: Final answer
   x = 1,607.11