Finding the Fourth Proportional to 2,048.27, 2,826.93 and 1,164.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,048.27 : 2,826.93 = 1,164.35 : x
2. Step 2: Convert to fraction form
   2,048.27/2,826.93 = 1,164.35/x
3. Step 3: Cross multiply
   2,048.27x = 2,826.93 × 1,164.35
4. Step 4: Simplify right side
   2,048.27x = 3,291,547.38
5. Step 5: Solve for x
   x = 3,291,547.38/2,048.27
6. Step 6: Final answer
   x = 1,606.99