Finding the Fourth Proportional to 1,196.19, 1,648.39 and 916.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.19 : 1,648.39 = 916.74 : x
2. Step 2: Convert to fraction form
   1,196.19/1,648.39 = 916.74/x
3. Step 3: Cross multiply
   1,196.19x = 1,648.39 × 916.74
4. Step 4: Simplify right side
   1,196.19x = 1,511,145.05
5. Step 5: Solve for x
   x = 1,511,145.05/1,196.19
6. Step 6: Final answer
   x = 1,263.30