Finding the Fourth Proportional to 10,414.21, 15,613.24 and 5,145.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.21 : 15,613.24 = 5,145.59 : x
2. Step 2: Convert to fraction form
   10,414.21/15,613.24 = 5,145.59/x
3. Step 3: Cross multiply
   10,414.21x = 15,613.24 × 5,145.59
4. Step 4: Simplify right side
   10,414.21x = 80,339,323.27
5. Step 5: Solve for x
   x = 80,339,323.27/10,414.21
6. Step 6: Final answer
   x = 7,714.40