Finding the Fourth Proportional to 10,013.06, 13,816.89 and 5,536.19

Step by Step Solution

1. Step 1: Write the proportion equation
   10,013.06 : 13,816.89 = 5,536.19 : x
2. Step 2: Convert to fraction form
   10,013.06/13,816.89 = 5,536.19/x
3. Step 3: Cross multiply
   10,013.06x = 13,816.89 × 5,536.19
4. Step 4: Simplify right side
   10,013.06x = 76,492,859.16
5. Step 5: Solve for x
   x = 76,492,859.16/10,013.06
6. Step 6: Final answer
   x = 7,639.31