Finding the Fourth Proportional to 1,405.69, 1,939.85 and 784.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,405.69 : 1,939.85 = 784.69 : x
2. Step 2: Convert to fraction form
   1,405.69/1,939.85 = 784.69/x
3. Step 3: Cross multiply
   1,405.69x = 1,939.85 × 784.69
4. Step 4: Simplify right side
   1,405.69x = 1,522,175.07
5. Step 5: Solve for x
   x = 1,522,175.07/1,405.69
6. Step 6: Final answer
   x = 1,082.87