Finding the Fourth Proportional to 1,406.92, 1,941.54 and 785.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.92 : 1,941.54 = 785.96 : x
2. Step 2: Convert to fraction form
   1,406.92/1,941.54 = 785.96/x
3. Step 3: Cross multiply
   1,406.92x = 1,941.54 × 785.96
4. Step 4: Simplify right side
   1,406.92x = 1,525,972.78
5. Step 5: Solve for x
   x = 1,525,972.78/1,406.92
6. Step 6: Final answer
   x = 1,084.62