Finding the Fourth Proportional to 3,185.06, 4,776.98 and 1,106.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,185.06 : 4,776.98 = 1,106.42 : x
2. Step 2: Convert to fraction form
   3,185.06/4,776.98 = 1,106.42/x
3. Step 3: Cross multiply
   3,185.06x = 4,776.98 × 1,106.42
4. Step 4: Simplify right side
   3,185.06x = 5,285,316.79
5. Step 5: Solve for x
   x = 5,285,316.79/3,185.06
6. Step 6: Final answer
   x = 1,659.41