Finding the Fourth Proportional to 1,345.16, 1,856.25 and 785.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,345.16 : 1,856.25 = 785.60 : x
2. Step 2: Convert to fraction form
   1,345.16/1,856.25 = 785.60/x
3. Step 3: Cross multiply
   1,345.16x = 1,856.25 × 785.60
4. Step 4: Simplify right side
   1,345.16x = 1,458,260.72
5. Step 5: Solve for x
   x = 1,458,260.72/1,345.16
6. Step 6: Final answer
   x = 1,084.08