Finding the Fourth Proportional to 9,913.47, 13,681.74 and 5,665.22

Step by Step Solution

1. Step 1: Write the proportion equation
   9,913.47 : 13,681.74 = 5,665.22 : x
2. Step 2: Convert to fraction form
   9,913.47/13,681.74 = 5,665.22/x
3. Step 3: Cross multiply
   9,913.47x = 13,681.74 × 5,665.22
4. Step 4: Simplify right side
   9,913.47x = 77,510,067.08
5. Step 5: Solve for x
   x = 77,510,067.08/9,913.47
6. Step 6: Final answer
   x = 7,818.66