Finding the Fourth Proportional to 1,608.06, 2,412.78 and 786.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,608.06 : 2,412.78 = 786.34 : x
2. Step 2: Convert to fraction form
   1,608.06/2,412.78 = 786.34/x
3. Step 3: Cross multiply
   1,608.06x = 2,412.78 × 786.34
4. Step 4: Simplify right side
   1,608.06x = 1,897,265.43
5. Step 5: Solve for x
   x = 1,897,265.43/1,608.06
6. Step 6: Final answer
   x = 1,179.85