Finding the Fourth Proportional to 10,004.75, 13,806.20 and 5,528.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,004.75 : 13,806.20 = 5,528.42 : x
2. Step 2: Convert to fraction form
   10,004.75/13,806.20 = 5,528.42/x
3. Step 3: Cross multiply
   10,004.75x = 13,806.20 × 5,528.42
4. Step 4: Simplify right side
   10,004.75x = 76,326,375.53
5. Step 5: Solve for x
   x = 76,326,375.53/10,004.75
6. Step 6: Final answer
   x = 7,629.02