Finding the Fourth Proportional to 10,434.42, 15,646.52 and 5,163.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,434.42 : 15,646.52 = 5,163.35 : x
2. Step 2: Convert to fraction form
   10,434.42/15,646.52 = 5,163.35/x
3. Step 3: Cross multiply
   10,434.42x = 15,646.52 × 5,163.35
4. Step 4: Simplify right side
   10,434.42x = 80,788,393.72
5. Step 5: Solve for x
   x = 80,788,393.72/10,434.42
6. Step 6: Final answer
   x = 7,742.49