Finding the Fourth Proportional to 1,407.25, 1,942.01 and 786.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.25 : 1,942.01 = 786.25 : x
2. Step 2: Convert to fraction form
   1,407.25/1,942.01 = 786.25/x
3. Step 3: Cross multiply
   1,407.25x = 1,942.01 × 786.25
4. Step 4: Simplify right side
   1,407.25x = 1,526,905.36
5. Step 5: Solve for x
   x = 1,526,905.36/1,407.25
6. Step 6: Final answer
   x = 1,085.03