Finding the Fourth Proportional to 2,048.76, 2,826.90 and 1,164.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,048.76 : 2,826.90 = 1,164.24 : x
2. Step 2: Convert to fraction form
   2,048.76/2,826.90 = 1,164.24/x
3. Step 3: Cross multiply
   2,048.76x = 2,826.90 × 1,164.24
4. Step 4: Simplify right side
   2,048.76x = 3,291,190.06
5. Step 5: Solve for x
   x = 3,291,190.06/2,048.76
6. Step 6: Final answer
   x = 1,606.43