Finding the Fourth Proportional to 1,406.78, 1,941.42 and 785.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.78 : 1,941.42 = 785.78 : x
2. Step 2: Convert to fraction form
   1,406.78/1,941.42 = 785.78/x
3. Step 3: Cross multiply
   1,406.78x = 1,941.42 × 785.78
4. Step 4: Simplify right side
   1,406.78x = 1,525,529.01
5. Step 5: Solve for x
   x = 1,525,529.01/1,406.78
6. Step 6: Final answer
   x = 1,084.41