Finding the Fourth Proportional to 10,012.91, 13,817.60 and 5,536.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,012.91 : 13,817.60 = 5,536.85 : x
2. Step 2: Convert to fraction form
   10,012.91/13,817.60 = 5,536.85/x
3. Step 3: Cross multiply
   10,012.91x = 13,817.60 × 5,536.85
4. Step 4: Simplify right side
   10,012.91x = 76,505,881.79
5. Step 5: Solve for x
   x = 76,505,881.79/10,012.91
6. Step 6: Final answer
   x = 7,640.73