Finding the Fourth Proportional to 1,405.50, 1,939.59 and 784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,405.50 : 1,939.59 = 784.50 : x
2. Step 2: Convert to fraction form
   1,405.50/1,939.59 = 784.50/x
3. Step 3: Cross multiply
   1,405.50x = 1,939.59 × 784.50
4. Step 4: Simplify right side
   1,405.50x = 1,521,608.36
5. Step 5: Solve for x
   x = 1,521,608.36/1,405.50
6. Step 6: Final answer
   x = 1,082.61