Finding the Fourth Proportional to 5,222.72, 7,814.45 and 3,665.77

Step by Step Solution

1. Step 1: Write the proportion equation
   5,222.72 : 7,814.45 = 3,665.77 : x
2. Step 2: Convert to fraction form
   5,222.72/7,814.45 = 3,665.77/x
3. Step 3: Cross multiply
   5,222.72x = 7,814.45 × 3,665.77
4. Step 4: Simplify right side
   5,222.72x = 28,645,966.00
5. Step 5: Solve for x
   x = 28,645,966.00/5,222.72
6. Step 6: Final answer
   x = 5,484.87