Finding the Fourth Proportional to 1,406.81, 1,941.40 and 785.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.81 : 1,941.40 = 785.81 : x
2. Step 2: Convert to fraction form
   1,406.81/1,941.40 = 785.81/x
3. Step 3: Cross multiply
   1,406.81x = 1,941.40 × 785.81
4. Step 4: Simplify right side
   1,406.81x = 1,525,577.37
5. Step 5: Solve for x
   x = 1,525,577.37/1,406.81
6. Step 6: Final answer
   x = 1,084.42