Finding the Fourth Proportional to 1,315.71, 1,971.83 and 698.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,315.71 : 1,971.83 = 698.10 : x
2. Step 2: Convert to fraction form
   1,315.71/1,971.83 = 698.10/x
3. Step 3: Cross multiply
   1,315.71x = 1,971.83 × 698.10
4. Step 4: Simplify right side
   1,315.71x = 1,376,531.03
5. Step 5: Solve for x
   x = 1,376,531.03/1,315.71
6. Step 6: Final answer
   x = 1,046.23