Finding the Fourth Proportional to 1,146.83, 1,582.34 and 698.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.83 : 1,582.34 = 698.59 : x
2. Step 2: Convert to fraction form
   1,146.83/1,582.34 = 698.59/x
3. Step 3: Cross multiply
   1,146.83x = 1,582.34 × 698.59
4. Step 4: Simplify right side
   1,146.83x = 1,105,405.39
5. Step 5: Solve for x
   x = 1,105,405.39/1,146.83
6. Step 6: Final answer
   x = 963.88