Finding the Fourth Proportional to 3,186.56, 4,778.69 and 1,106.01

Step by Step Solution

1. Step 1: Write the proportion equation
   3,186.56 : 4,778.69 = 1,106.01 : x
2. Step 2: Convert to fraction form
   3,186.56/4,778.69 = 1,106.01/x
3. Step 3: Cross multiply
   3,186.56x = 4,778.69 × 1,106.01
4. Step 4: Simplify right side
   3,186.56x = 5,285,273.40
5. Step 5: Solve for x
   x = 5,285,273.40/3,186.56
6. Step 6: Final answer
   x = 1,658.61