Finding the Fourth Proportional to 1,406.25, 1,940.63 and 785.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.25 : 1,940.63 = 785.25 : x
2. Step 2: Convert to fraction form
   1,406.25/1,940.63 = 785.25/x
3. Step 3: Cross multiply
   1,406.25x = 1,940.63 × 785.25
4. Step 4: Simplify right side
   1,406.25x = 1,523,875.78
5. Step 5: Solve for x
   x = 1,523,875.78/1,406.25
6. Step 6: Final answer
   x = 1,083.65