Finding the Fourth Proportional to 1,417.50, 1,956.42 and 796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.50 : 1,956.42 = 796.50 : x
2. Step 2: Convert to fraction form
   1,417.50/1,956.42 = 796.50/x
3. Step 3: Cross multiply
   1,417.50x = 1,956.42 × 796.50
4. Step 4: Simplify right side
   1,417.50x = 1,558,288.53
5. Step 5: Solve for x
   x = 1,558,288.53/1,417.50
6. Step 6: Final answer
   x = 1,099.32