Finding the Fourth Proportional to 9,814.38, 13,540.84 and 5,564.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.38 : 13,540.84 = 5,564.76 : x
2. Step 2: Convert to fraction form
   9,814.38/13,540.84 = 5,564.76/x
3. Step 3: Cross multiply
   9,814.38x = 13,540.84 × 5,564.76
4. Step 4: Simplify right side
   9,814.38x = 75,351,524.80
5. Step 5: Solve for x
   x = 75,351,524.80/9,814.38
6. Step 6: Final answer
   x = 7,677.67