Finding the Fourth Proportional to 1,838.31, 2,758.19 and 684.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,838.31 : 2,758.19 = 684.15 : x
2. Step 2: Convert to fraction form
   1,838.31/2,758.19 = 684.15/x
3. Step 3: Cross multiply
   1,838.31x = 2,758.19 × 684.15
4. Step 4: Simplify right side
   1,838.31x = 1,887,012.27
5. Step 5: Solve for x
   x = 1,887,012.27/1,838.31
6. Step 6: Final answer
   x = 1,026.49