Finding the Fourth Proportional to 1,196.18, 1,648.02 and 947.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.18 : 1,648.02 = 947.42 : x
2. Step 2: Convert to fraction form
   1,196.18/1,648.02 = 947.42/x
3. Step 3: Cross multiply
   1,196.18x = 1,648.02 × 947.42
4. Step 4: Simplify right side
   1,196.18x = 1,561,367.11
5. Step 5: Solve for x
   x = 1,561,367.11/1,196.18
6. Step 6: Final answer
   x = 1,305.29