Finding the Fourth Proportional to 1,407.56, 1,942.50 and 786.44

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.56 : 1,942.50 = 786.44 : x
2. Step 2: Convert to fraction form
   1,407.56/1,942.50 = 786.44/x
3. Step 3: Cross multiply
   1,407.56x = 1,942.50 × 786.44
4. Step 4: Simplify right side
   1,407.56x = 1,527,659.70
5. Step 5: Solve for x
   x = 1,527,659.70/1,407.56
6. Step 6: Final answer
   x = 1,085.32