Finding the Fourth Proportional to 10,012.16, 13,816.56 and 5,536.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,012.16 : 13,816.56 = 5,536.10 : x
2. Step 2: Convert to fraction form
   10,012.16/13,816.56 = 5,536.10/x
3. Step 3: Cross multiply
   10,012.16x = 13,816.56 × 5,536.10
4. Step 4: Simplify right side
   10,012.16x = 76,489,788.73
5. Step 5: Solve for x
   x = 76,489,788.73/10,012.16
6. Step 6: Final answer
   x = 7,639.69