Finding the Fourth Proportional to 2,048.98, 2,827.67 and 1,164.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,048.98 : 2,827.67 = 1,164.82 : x
2. Step 2: Convert to fraction form
   2,048.98/2,827.67 = 1,164.82/x
3. Step 3: Cross multiply
   2,048.98x = 2,827.67 × 1,164.82
4. Step 4: Simplify right side
   2,048.98x = 3,293,726.57
5. Step 5: Solve for x
   x = 3,293,726.57/2,048.98
6. Step 6: Final answer
   x = 1,607.50