Finding the Fourth Proportional to 1,344.89, 1,856.18 and 785.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,344.89 : 1,856.18 = 785.69 : x
2. Step 2: Convert to fraction form
   1,344.89/1,856.18 = 785.69/x
3. Step 3: Cross multiply
   1,344.89x = 1,856.18 × 785.69
4. Step 4: Simplify right side
   1,344.89x = 1,458,368.85
5. Step 5: Solve for x
   x = 1,458,368.85/1,344.89
6. Step 6: Final answer
   x = 1,084.38