Finding the Fourth Proportional to 9,813.34, 13,542.98 and 5,564.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,813.34 : 13,542.98 = 5,564.56 : x
2. Step 2: Convert to fraction form
   9,813.34/13,542.98 = 5,564.56/x
3. Step 3: Cross multiply
   9,813.34x = 13,542.98 × 5,564.56
4. Step 4: Simplify right side
   9,813.34x = 75,360,724.79
5. Step 5: Solve for x
   x = 75,360,724.79/9,813.34
6. Step 6: Final answer
   x = 7,679.42