Finding the Fourth Proportional to 2,048.35, 2,826.84 and 1,164.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,048.35 : 2,826.84 = 1,164.10 : x
2. Step 2: Convert to fraction form
   2,048.35/2,826.84 = 1,164.10/x
3. Step 3: Cross multiply
   2,048.35x = 2,826.84 × 1,164.10
4. Step 4: Simplify right side
   2,048.35x = 3,290,724.44
5. Step 5: Solve for x
   x = 3,290,724.44/2,048.35
6. Step 6: Final answer
   x = 1,606.52