Finding the Fourth Proportional to 4,186.72, 6,274.86 and 3,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,186.72 : 6,274.86 = 3,665.50 : x
2. Step 2: Convert to fraction form
   4,186.72/6,274.86 = 3,665.50/x
3. Step 3: Cross multiply
   4,186.72x = 6,274.86 × 3,665.50
4. Step 4: Simplify right side
   4,186.72x = 23,000,499.33
5. Step 5: Solve for x
   x = 23,000,499.33/4,186.72
6. Step 6: Final answer
   x = 5,493.68