Finding the Fourth Proportional to 10,012.38, 13,816.59 and 5,536.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,012.38 : 13,816.59 = 5,536.02 : x
2. Step 2: Convert to fraction form
   10,012.38/13,816.59 = 5,536.02/x
3. Step 3: Cross multiply
   10,012.38x = 13,816.59 × 5,536.02
4. Step 4: Simplify right side
   10,012.38x = 76,488,918.57
5. Step 5: Solve for x
   x = 76,488,918.57/10,012.38
6. Step 6: Final answer
   x = 7,639.43