Finding the Fourth Proportional to 10,086.94, 15,117.30 and 5,644.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,086.94 : 15,117.30 = 5,644.42 : x
2. Step 2: Convert to fraction form
   10,086.94/15,117.30 = 5,644.42/x
3. Step 3: Cross multiply
   10,086.94x = 15,117.30 × 5,644.42
4. Step 4: Simplify right side
   10,086.94x = 85,328,390.47
5. Step 5: Solve for x
   x = 85,328,390.47/10,086.94
6. Step 6: Final answer
   x = 8,459.29