Finding the Fourth Proportional to 1,344.85, 1,855.88 and 785.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,344.85 : 1,855.88 = 785.34 : x
2. Step 2: Convert to fraction form
   1,344.85/1,855.88 = 785.34/x
3. Step 3: Cross multiply
   1,344.85x = 1,855.88 × 785.34
4. Step 4: Simplify right side
   1,344.85x = 1,457,498.76
5. Step 5: Solve for x
   x = 1,457,498.76/1,344.85
6. Step 6: Final answer
   x = 1,083.77