Finding the Fourth Proportional to 2,048.32, 2,826.84 and 1,164.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,048.32 : 2,826.84 = 1,164.40 : x
2. Step 2: Convert to fraction form
   2,048.32/2,826.84 = 1,164.40/x
3. Step 3: Cross multiply
   2,048.32x = 2,826.84 × 1,164.40
4. Step 4: Simplify right side
   2,048.32x = 3,291,572.50
5. Step 5: Solve for x
   x = 3,291,572.50/2,048.32
6. Step 6: Final answer
   x = 1,606.96