Finding the Fourth Proportional to 1,091.88, 1,506.54 and 698.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.88 : 1,506.54 = 698.76 : x
2. Step 2: Convert to fraction form
   1,091.88/1,506.54 = 698.76/x
3. Step 3: Cross multiply
   1,091.88x = 1,506.54 × 698.76
4. Step 4: Simplify right side
   1,091.88x = 1,052,709.89
5. Step 5: Solve for x
   x = 1,052,709.89/1,091.88
6. Step 6: Final answer
   x = 964.13