Finding the Fourth Proportional to 1,838.86, 2,758.38 and 684.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,838.86 : 2,758.38 = 684.34 : x
2. Step 2: Convert to fraction form
   1,838.86/2,758.38 = 684.34/x
3. Step 3: Cross multiply
   1,838.86x = 2,758.38 × 684.34
4. Step 4: Simplify right side
   1,838.86x = 1,887,669.77
5. Step 5: Solve for x
   x = 1,887,669.77/1,838.86
6. Step 6: Final answer
   x = 1,026.54