Finding the Fourth Proportional to 2,123.29, 3,185.75 and 1,027.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.29 : 3,185.75 = 1,027.57 : x
2. Step 2: Convert to fraction form
   2,123.29/3,185.75 = 1,027.57/x
3. Step 3: Cross multiply
   2,123.29x = 3,185.75 × 1,027.57
4. Step 4: Simplify right side
   2,123.29x = 3,273,581.13
5. Step 5: Solve for x
   x = 3,273,581.13/2,123.29
6. Step 6: Final answer
   x = 1,541.75