Finding the Fourth Proportional to 9,812.79, 13,540.97 and 5,563.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,812.79 : 13,540.97 = 5,563.42 : x
2. Step 2: Convert to fraction form
   9,812.79/13,540.97 = 5,563.42/x
3. Step 3: Cross multiply
   9,812.79x = 13,540.97 × 5,563.42
4. Step 4: Simplify right side
   9,812.79x = 75,334,083.37
5. Step 5: Solve for x
   x = 75,334,083.37/9,812.79
6. Step 6: Final answer
   x = 7,677.13