Finding the Fourth Proportional to 1,417.71, 1,956.41 and 788.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.71 : 1,956.41 = 788.24 : x
2. Step 2: Convert to fraction form
   1,417.71/1,956.41 = 788.24/x
3. Step 3: Cross multiply
   1,417.71x = 1,956.41 × 788.24
4. Step 4: Simplify right side
   1,417.71x = 1,542,120.62
5. Step 5: Solve for x
   x = 1,542,120.62/1,417.71
6. Step 6: Final answer
   x = 1,087.75