Finding the Fourth Proportional to 2,048.54, 2,826.72 and 1,164.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,048.54 : 2,826.72 = 1,164.32 : x
2. Step 2: Convert to fraction form
   2,048.54/2,826.72 = 1,164.32/x
3. Step 3: Cross multiply
   2,048.54x = 2,826.72 × 1,164.32
4. Step 4: Simplify right side
   2,048.54x = 3,291,206.63
5. Step 5: Solve for x
   x = 3,291,206.63/2,048.54
6. Step 6: Final answer
   x = 1,606.61