Finding the Fourth Proportional to 4,185.72, 5,776.50 and 2,322.76

Step by Step Solution

1. Step 1: Write the proportion equation
   4,185.72 : 5,776.50 = 2,322.76 : x
2. Step 2: Convert to fraction form
   4,185.72/5,776.50 = 2,322.76/x
3. Step 3: Cross multiply
   4,185.72x = 5,776.50 × 2,322.76
4. Step 4: Simplify right side
   4,185.72x = 13,417,423.14
5. Step 5: Solve for x
   x = 13,417,423.14/4,185.72
6. Step 6: Final answer
   x = 3,205.52