Finding the Fourth Proportional to 5,186.10, 7,783.02 and 3,854.96

Step by Step Solution

1. Step 1: Write the proportion equation
   5,186.10 : 7,783.02 = 3,854.96 : x
2. Step 2: Convert to fraction form
   5,186.10/7,783.02 = 3,854.96/x
3. Step 3: Cross multiply
   5,186.10x = 7,783.02 × 3,854.96
4. Step 4: Simplify right side
   5,186.10x = 30,003,230.78
5. Step 5: Solve for x
   x = 30,003,230.78/5,186.10
6. Step 6: Final answer
   x = 5,785.32