Finding the Fourth Proportional to 1,407.50, 1,942.38 and 786.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.50 : 1,942.38 = 786.50 : x
2. Step 2: Convert to fraction form
   1,407.50/1,942.38 = 786.50/x
3. Step 3: Cross multiply
   1,407.50x = 1,942.38 × 786.50
4. Step 4: Simplify right side
   1,407.50x = 1,527,681.87
5. Step 5: Solve for x
   x = 1,527,681.87/1,407.50
6. Step 6: Final answer
   x = 1,085.39