Finding the Fourth Proportional to 1,146.37, 1,581.61 and 698.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.37 : 1,581.61 = 698.40 : x
2. Step 2: Convert to fraction form
   1,146.37/1,581.61 = 698.40/x
3. Step 3: Cross multiply
   1,146.37x = 1,581.61 × 698.40
4. Step 4: Simplify right side
   1,146.37x = 1,104,596.42
5. Step 5: Solve for x
   x = 1,104,596.42/1,146.37
6. Step 6: Final answer
   x = 963.56