Finding the Fourth Proportional to 2,048.32, 2,826.90 and 1,164.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,048.32 : 2,826.90 = 1,164.34 : x
2. Step 2: Convert to fraction form
   2,048.32/2,826.90 = 1,164.34/x
3. Step 3: Cross multiply
   2,048.32x = 2,826.90 × 1,164.34
4. Step 4: Simplify right side
   2,048.32x = 3,291,472.75
5. Step 5: Solve for x
   x = 3,291,472.75/2,048.32
6. Step 6: Final answer
   x = 1,606.91