Finding the Fourth Proportional to 7,137.31, 10,705.91 and 5,578.62

Step by Step Solution

1. Step 1: Write the proportion equation
   7,137.31 : 10,705.91 = 5,578.62 : x
2. Step 2: Convert to fraction form
   7,137.31/10,705.91 = 5,578.62/x
3. Step 3: Cross multiply
   7,137.31x = 10,705.91 × 5,578.62
4. Step 4: Simplify right side
   7,137.31x = 59,724,242.89
5. Step 5: Solve for x
   x = 59,724,242.89/7,137.31
6. Step 6: Final answer
   x = 8,367.90