Finding the Fourth Proportional to 10,012.85, 13,817.59 and 5,536.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,012.85 : 13,817.59 = 5,536.50 : x
2. Step 2: Convert to fraction form
   10,012.85/13,817.59 = 5,536.50/x
3. Step 3: Cross multiply
   10,012.85x = 13,817.59 × 5,536.50
4. Step 4: Simplify right side
   10,012.85x = 76,501,099.10
5. Step 5: Solve for x
   x = 76,501,099.10/10,012.85
6. Step 6: Final answer
   x = 7,640.29