Finding the Fourth Proportional to 9,812.34, 13,541.60 and 5,563.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,812.34 : 13,541.60 = 5,563.56 : x
2. Step 2: Convert to fraction form
   9,812.34/13,541.60 = 5,563.56/x
3. Step 3: Cross multiply
   9,812.34x = 13,541.60 × 5,563.56
4. Step 4: Simplify right side
   9,812.34x = 75,339,504.10
5. Step 5: Solve for x
   x = 75,339,504.10/9,812.34
6. Step 6: Final answer
   x = 7,678.04