Finding the Fourth Proportional to 1,194.88, 1,648.86 and 841.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,194.88 : 1,648.86 = 841.30 : x
2. Step 2: Convert to fraction form
   1,194.88/1,648.86 = 841.30/x
3. Step 3: Cross multiply
   1,194.88x = 1,648.86 × 841.30
4. Step 4: Simplify right side
   1,194.88x = 1,387,185.92
5. Step 5: Solve for x
   x = 1,387,185.92/1,194.88
6. Step 6: Final answer
   x = 1,160.94