Finding the Fourth Proportional to 1,407.75, 1,942.82 and 786.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.75 : 1,942.82 = 786.87 : x
2. Step 2: Convert to fraction form
   1,407.75/1,942.82 = 786.87/x
3. Step 3: Cross multiply
   1,407.75x = 1,942.82 × 786.87
4. Step 4: Simplify right side
   1,407.75x = 1,528,746.77
5. Step 5: Solve for x
   x = 1,528,746.77/1,407.75
6. Step 6: Final answer
   x = 1,085.95