Finding the Fourth Proportional to 1,608.52, 2,410.54 and 785.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,608.52 : 2,410.54 = 785.16 : x
2. Step 2: Convert to fraction form
   1,608.52/2,410.54 = 785.16/x
3. Step 3: Cross multiply
   1,608.52x = 2,410.54 × 785.16
4. Step 4: Simplify right side
   1,608.52x = 1,892,659.59
5. Step 5: Solve for x
   x = 1,892,659.59/1,608.52
6. Step 6: Final answer
   x = 1,176.65