Finding the Fourth Proportional to 2,048.55, 2,826.71 and 1,164.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,048.55 : 2,826.71 = 1,164.30 : x
2. Step 2: Convert to fraction form
   2,048.55/2,826.71 = 1,164.30/x
3. Step 3: Cross multiply
   2,048.55x = 2,826.71 × 1,164.30
4. Step 4: Simplify right side
   2,048.55x = 3,291,118.50
5. Step 5: Solve for x
   x = 3,291,118.50/2,048.55
6. Step 6: Final answer
   x = 1,606.56