Finding the Fourth Proportional to 1,146.40, 1,582.12 and 698.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.40 : 1,582.12 = 698.22 : x
2. Step 2: Convert to fraction form
   1,146.40/1,582.12 = 698.22/x
3. Step 3: Cross multiply
   1,146.40x = 1,582.12 × 698.22
4. Step 4: Simplify right side
   1,146.40x = 1,104,667.83
5. Step 5: Solve for x
   x = 1,104,667.83/1,146.40
6. Step 6: Final answer
   x = 963.60