Finding the Fourth Proportional to 5,686.50, 8,526.78 and 2,563.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,686.50 : 8,526.78 = 2,563.82 : x
2. Step 2: Convert to fraction form
   5,686.50/8,526.78 = 2,563.82/x
3. Step 3: Cross multiply
   5,686.50x = 8,526.78 × 2,563.82
4. Step 4: Simplify right side
   5,686.50x = 21,861,086.47
5. Step 5: Solve for x
   x = 21,861,086.47/5,686.50
6. Step 6: Final answer
   x = 3,844.38