Finding the Fourth Proportional to 10,436.15, 15,654.77 and 5,097.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,436.15 : 15,654.77 = 5,097.71 : x
2. Step 2: Convert to fraction form
   10,436.15/15,654.77 = 5,097.71/x
3. Step 3: Cross multiply
   10,436.15x = 15,654.77 × 5,097.71
4. Step 4: Simplify right side
   10,436.15x = 79,803,452.09
5. Step 5: Solve for x
   x = 79,803,452.09/10,436.15
6. Step 6: Final answer
   x = 7,646.83