Finding the Fourth Proportional to 1,344.72, 1,855.72 and 785.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,344.72 : 1,855.72 = 785.22 : x
2. Step 2: Convert to fraction form
   1,344.72/1,855.72 = 785.22/x
3. Step 3: Cross multiply
   1,344.72x = 1,855.72 × 785.22
4. Step 4: Simplify right side
   1,344.72x = 1,457,148.46
5. Step 5: Solve for x
   x = 1,457,148.46/1,344.72
6. Step 6: Final answer
   x = 1,083.61