Finding the Fourth Proportional to 5,674.82, 8,514.56 and 2,510.57

Step by Step Solution

1. Step 1: Write the proportion equation
   5,674.82 : 8,514.56 = 2,510.57 : x
2. Step 2: Convert to fraction form
   5,674.82/8,514.56 = 2,510.57/x
3. Step 3: Cross multiply
   5,674.82x = 8,514.56 × 2,510.57
4. Step 4: Simplify right side
   5,674.82x = 21,376,426.46
5. Step 5: Solve for x
   x = 21,376,426.46/5,674.82
6. Step 6: Final answer
   x = 3,766.89