Finding the Fourth Proportional to 1,344.50, 1,855.24 and 784.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,344.50 : 1,855.24 = 784.86 : x
2. Step 2: Convert to fraction form
   1,344.50/1,855.24 = 784.86/x
3. Step 3: Cross multiply
   1,344.50x = 1,855.24 × 784.86
4. Step 4: Simplify right side
   1,344.50x = 1,456,094.75
5. Step 5: Solve for x
   x = 1,456,094.75/1,344.50
6. Step 6: Final answer
   x = 1,083.00