Finding the Fourth Proportional to 1,091.57, 1,506.69 and 698.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.57 : 1,506.69 = 698.58 : x
2. Step 2: Convert to fraction form
   1,091.57/1,506.69 = 698.58/x
3. Step 3: Cross multiply
   1,091.57x = 1,506.69 × 698.58
4. Step 4: Simplify right side
   1,091.57x = 1,052,543.50
5. Step 5: Solve for x
   x = 1,052,543.50/1,091.57
6. Step 6: Final answer
   x = 964.25