Finding the Fourth Proportional to 10,012.98, 13,817.65 and 5,536.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,012.98 : 13,817.65 = 5,536.62 : x
2. Step 2: Convert to fraction form
   10,012.98/13,817.65 = 5,536.62/x
3. Step 3: Cross multiply
   10,012.98x = 13,817.65 × 5,536.62
4. Step 4: Simplify right side
   10,012.98x = 76,503,077.34
5. Step 5: Solve for x
   x = 76,503,077.34/10,012.98
6. Step 6: Final answer
   x = 7,640.39