Finding the Fourth Proportional to 1,406.95, 1,941.60 and 785.95

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.95 : 1,941.60 = 785.95 : x
2. Step 2: Convert to fraction form
   1,406.95/1,941.60 = 785.95/x
3. Step 3: Cross multiply
   1,406.95x = 1,941.60 × 785.95
4. Step 4: Simplify right side
   1,406.95x = 1,526,002.90
5. Step 5: Solve for x
   x = 1,526,002.90/1,406.95
6. Step 6: Final answer
   x = 1,084.62