Finding the Fourth Proportional to 13,824.38, 19,077.46 and 7,536.76

Step by Step Solution

1. Step 1: Write the proportion equation
   13,824.38 : 19,077.46 = 7,536.76 : x
2. Step 2: Convert to fraction form
   13,824.38/19,077.46 = 7,536.76/x
3. Step 3: Cross multiply
   13,824.38x = 19,077.46 × 7,536.76
4. Step 4: Simplify right side
   13,824.38x = 143,782,170.89
5. Step 5: Solve for x
   x = 143,782,170.89/13,824.38
6. Step 6: Final answer
   x = 10,400.62