Finding the Fourth Proportional to 1,398.32, 2,098.06 and 782.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,398.32 : 2,098.06 = 782.46 : x
2. Step 2: Convert to fraction form
   1,398.32/2,098.06 = 782.46/x
3. Step 3: Cross multiply
   1,398.32x = 2,098.06 × 782.46
4. Step 4: Simplify right side
   1,398.32x = 1,641,648.03
5. Step 5: Solve for x
   x = 1,641,648.03/1,398.32
6. Step 6: Final answer
   x = 1,174.01