Finding the Fourth Proportional to 1,194.35, 1,648.76 and 796.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,194.35 : 1,648.76 = 796.10 : x
2. Step 2: Convert to fraction form
   1,194.35/1,648.76 = 796.10/x
3. Step 3: Cross multiply
   1,194.35x = 1,648.76 × 796.10
4. Step 4: Simplify right side
   1,194.35x = 1,312,565.61
5. Step 5: Solve for x
   x = 1,312,565.61/1,194.35
6. Step 6: Final answer
   x = 1,098.98