Finding the Fourth Proportional to 1,091.80, 1,505.82 and 698.95

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.80 : 1,505.82 = 698.95 : x
2. Step 2: Convert to fraction form
   1,091.80/1,505.82 = 698.95/x
3. Step 3: Cross multiply
   1,091.80x = 1,505.82 × 698.95
4. Step 4: Simplify right side
   1,091.80x = 1,052,492.89
5. Step 5: Solve for x
   x = 1,052,492.89/1,091.80
6. Step 6: Final answer
   x = 964.00