Finding the Fourth Proportional to 2,123.16, 3,184.71 and 1,027.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.16 : 3,184.71 = 1,027.62 : x
2. Step 2: Convert to fraction form
   2,123.16/3,184.71 = 1,027.62/x
3. Step 3: Cross multiply
   2,123.16x = 3,184.71 × 1,027.62
4. Step 4: Simplify right side
   2,123.16x = 3,272,671.69
5. Step 5: Solve for x
   x = 3,272,671.69/2,123.16
6. Step 6: Final answer
   x = 1,541.42