Finding the Fourth Proportional to 10,012.82, 13,817.14 and 5,536.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,012.82 : 13,817.14 = 5,536.31 : x
2. Step 2: Convert to fraction form
   10,012.82/13,817.14 = 5,536.31/x
3. Step 3: Cross multiply
   10,012.82x = 13,817.14 × 5,536.31
4. Step 4: Simplify right side
   10,012.82x = 76,495,887.43
5. Step 5: Solve for x
   x = 76,495,887.43/10,012.82
6. Step 6: Final answer
   x = 7,639.79