Finding the Fourth Proportional to 10,074.05, 13,902.25 and 5,536.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,074.05 : 13,902.25 = 5,536.69 : x
2. Step 2: Convert to fraction form
   10,074.05/13,902.25 = 5,536.69/x
3. Step 3: Cross multiply
   10,074.05x = 13,902.25 × 5,536.69
4. Step 4: Simplify right side
   10,074.05x = 76,972,392.88
5. Step 5: Solve for x
   x = 76,972,392.88/10,074.05
6. Step 6: Final answer
   x = 7,640.66