Finding the Fourth Proportional to 1,405.89, 1,940.15 and 784.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,405.89 : 1,940.15 = 784.89 : x
2. Step 2: Convert to fraction form
   1,405.89/1,940.15 = 784.89/x
3. Step 3: Cross multiply
   1,405.89x = 1,940.15 × 784.89
4. Step 4: Simplify right side
   1,405.89x = 1,522,800.41
5. Step 5: Solve for x
   x = 1,522,800.41/1,405.89
6. Step 6: Final answer
   x = 1,083.16