Finding the Fourth Proportional to 2,048.24, 2,826.47 and 1,164.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,048.24 : 2,826.47 = 1,164.02 : x
2. Step 2: Convert to fraction form
   2,048.24/2,826.47 = 1,164.02/x
3. Step 3: Cross multiply
   2,048.24x = 2,826.47 × 1,164.02
4. Step 4: Simplify right side
   2,048.24x = 3,290,069.01
5. Step 5: Solve for x
   x = 3,290,069.01/2,048.24
6. Step 6: Final answer
   x = 1,606.29