Finding the Fourth Proportional to 2,048.37, 2,826.81 and 1,164.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,048.37 : 2,826.81 = 1,164.15 : x
2. Step 2: Convert to fraction form
   2,048.37/2,826.81 = 1,164.15/x
3. Step 3: Cross multiply
   2,048.37x = 2,826.81 × 1,164.15
4. Step 4: Simplify right side
   2,048.37x = 3,290,830.86
5. Step 5: Solve for x
   x = 3,290,830.86/2,048.37
6. Step 6: Final answer
   x = 1,606.56