Finding the Fourth Proportional to 10,638.86, 15,968.15 and 5,377.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,638.86 : 15,968.15 = 5,377.59 : x
2. Step 2: Convert to fraction form
   10,638.86/15,968.15 = 5,377.59/x
3. Step 3: Cross multiply
   10,638.86x = 15,968.15 × 5,377.59
4. Step 4: Simplify right side
   10,638.86x = 85,870,217.07
5. Step 5: Solve for x
   x = 85,870,217.07/10,638.86
6. Step 6: Final answer
   x = 8,071.37