Finding the Fourth Proportional to 1,091.02, 1,506.17 and 841.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.02 : 1,506.17 = 841.78 : x
2. Step 2: Convert to fraction form
   1,091.02/1,506.17 = 841.78/x
3. Step 3: Cross multiply
   1,091.02x = 1,506.17 × 841.78
4. Step 4: Simplify right side
   1,091.02x = 1,267,863.78
5. Step 5: Solve for x
   x = 1,267,863.78/1,091.02
6. Step 6: Final answer
   x = 1,162.09