Finding the Fourth Proportional to 5,184.27, 7,776 and 1,674.27

Step by Step Solution

1. Step 1: Write the proportion equation
   5,184.27 : 7,776 = 1,674.27 : x
2. Step 2: Convert to fraction form
   5,184.27/7,776 = 1,674.27/x
3. Step 3: Cross multiply
   5,184.27x = 7,776 × 1,674.27
4. Step 4: Simplify right side
   5,184.27x = 13,019,123.52
5. Step 5: Solve for x
   x = 13,019,123.52/5,184.27
6. Step 6: Final answer
   x = 2,511.27