Finding the Fourth Proportional to 1,406.69, 1,941.23 and 785.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.69 : 1,941.23 = 785.69 : x
2. Step 2: Convert to fraction form
   1,406.69/1,941.23 = 785.69/x
3. Step 3: Cross multiply
   1,406.69x = 1,941.23 × 785.69
4. Step 4: Simplify right side
   1,406.69x = 1,525,205.00
5. Step 5: Solve for x
   x = 1,525,205.00/1,406.69
6. Step 6: Final answer
   x = 1,084.25