Finding the Fourth Proportional to 1,091.76, 1,506.38 and 698.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.76 : 1,506.38 = 698.91 : x
2. Step 2: Convert to fraction form
   1,091.76/1,506.38 = 698.91/x
3. Step 3: Cross multiply
   1,091.76x = 1,506.38 × 698.91
4. Step 4: Simplify right side
   1,091.76x = 1,052,820.55
5. Step 5: Solve for x
   x = 1,052,820.55/1,091.76
6. Step 6: Final answer
   x = 964.33