Finding the Fourth Proportional to 2,048.25, 2,826.59 and 1,164.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,048.25 : 2,826.59 = 1,164.06 : x
2. Step 2: Convert to fraction form
   2,048.25/2,826.59 = 1,164.06/x
3. Step 3: Cross multiply
   2,048.25x = 2,826.59 × 1,164.06
4. Step 4: Simplify right side
   2,048.25x = 3,290,320.36
5. Step 5: Solve for x
   x = 3,290,320.36/2,048.25
6. Step 6: Final answer
   x = 1,606.41