Finding the Fourth Proportional to 2,123.84, 3,184.13 and 1,027.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.84 : 3,184.13 = 1,027.10 : x
2. Step 2: Convert to fraction form
   2,123.84/3,184.13 = 1,027.10/x
3. Step 3: Cross multiply
   2,123.84x = 3,184.13 × 1,027.10
4. Step 4: Simplify right side
   2,123.84x = 3,270,406.57
5. Step 5: Solve for x
   x = 3,270,406.57/2,123.84
6. Step 6: Final answer
   x = 1,539.86