Finding the Fourth Proportional to 10,429.10, 15,644.26 and 5,097.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.10 : 15,644.26 = 5,097.23 : x
2. Step 2: Convert to fraction form
   10,429.10/15,644.26 = 5,097.23/x
3. Step 3: Cross multiply
   10,429.10x = 15,644.26 × 5,097.23
4. Step 4: Simplify right side
   10,429.10x = 79,742,392.55
5. Step 5: Solve for x
   x = 79,742,392.55/10,429.10
6. Step 6: Final answer
   x = 7,646.14