Finding the Fourth Proportional to 10,003.20, 13,804.16 and 5,526.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,003.20 : 13,804.16 = 5,526.64 : x
2. Step 2: Convert to fraction form
   10,003.20/13,804.16 = 5,526.64/x
3. Step 3: Cross multiply
   10,003.20x = 13,804.16 × 5,526.64
4. Step 4: Simplify right side
   10,003.20x = 76,290,622.82
5. Step 5: Solve for x
   x = 76,290,622.82/10,003.20
6. Step 6: Final answer
   x = 7,626.62