Finding the Fourth Proportional to 1,405.24, 1,938.78 and 784.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,405.24 : 1,938.78 = 784.12 : x
2. Step 2: Convert to fraction form
   1,405.24/1,938.78 = 784.12/x
3. Step 3: Cross multiply
   1,405.24x = 1,938.78 × 784.12
4. Step 4: Simplify right side
   1,405.24x = 1,520,236.17
5. Step 5: Solve for x
   x = 1,520,236.17/1,405.24
6. Step 6: Final answer
   x = 1,081.83