Finding the Fourth Proportional to 2,048.16, 2,826.52 and 1,164

Step by Step Solution

1. Step 1: Write the proportion equation
   2,048.16 : 2,826.52 = 1,164 : x
2. Step 2: Convert to fraction form
   2,048.16/2,826.52 = 1,164/x
3. Step 3: Cross multiply
   2,048.16x = 2,826.52 × 1,164
4. Step 4: Simplify right side
   2,048.16x = 3,290,069.28
5. Step 5: Solve for x
   x = 3,290,069.28/2,048.16
6. Step 6: Final answer
   x = 1,606.35