Finding the Fourth Proportional to 10,640.10, 15,962.90 and 5,097.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,640.10 : 15,962.90 = 5,097.72 : x
2. Step 2: Convert to fraction form
   10,640.10/15,962.90 = 5,097.72/x
3. Step 3: Cross multiply
   10,640.10x = 15,962.90 × 5,097.72
4. Step 4: Simplify right side
   10,640.10x = 81,374,369.10
5. Step 5: Solve for x
   x = 81,374,369.10/10,640.10
6. Step 6: Final answer
   x = 7,647.90