Finding the Fourth Proportional to 9,812.96, 13,538.57 and 5,563.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,812.96 : 13,538.57 = 5,563.56 : x
2. Step 2: Convert to fraction form
   9,812.96/13,538.57 = 5,563.56/x
3. Step 3: Cross multiply
   9,812.96x = 13,538.57 × 5,563.56
4. Step 4: Simplify right side
   9,812.96x = 75,322,618.69
5. Step 5: Solve for x
   x = 75,322,618.69/9,812.96
6. Step 6: Final answer
   x = 7,675.83