Finding the Fourth Proportional to 9,488.56, 14,233.56 and 2,563

Step by Step Solution

1. Step 1: Write the proportion equation
   9,488.56 : 14,233.56 = 2,563 : x
2. Step 2: Convert to fraction form
   9,488.56/14,233.56 = 2,563/x
3. Step 3: Cross multiply
   9,488.56x = 14,233.56 × 2,563
4. Step 4: Simplify right side
   9,488.56x = 36,480,614.28
5. Step 5: Solve for x
   x = 36,480,614.28/9,488.56
6. Step 6: Final answer
   x = 3,844.69