Finding the Fourth Proportional to 1,117.58, 1,542.82 and 698.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,117.58 : 1,542.82 = 698.17 : x
2. Step 2: Convert to fraction form
   1,117.58/1,542.82 = 698.17/x
3. Step 3: Cross multiply
   1,117.58x = 1,542.82 × 698.17
4. Step 4: Simplify right side
   1,117.58x = 1,077,151.20
5. Step 5: Solve for x
   x = 1,077,151.20/1,117.58
6. Step 6: Final answer
   x = 963.82