Finding the Fourth Proportional to 10,004.56, 13,806.24 and 5,528.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,004.56 : 13,806.24 = 5,528.62 : x
2. Step 2: Convert to fraction form
   10,004.56/13,806.24 = 5,528.62/x
3. Step 3: Cross multiply
   10,004.56x = 13,806.24 × 5,528.62
4. Step 4: Simplify right side
   10,004.56x = 76,329,454.59
5. Step 5: Solve for x
   x = 76,329,454.59/10,004.56
6. Step 6: Final answer
   x = 7,629.47