Finding the Fourth Proportional to 6,910.38, 10,351.17 and 5,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,910.38 : 10,351.17 = 5,737.50 : x
2. Step 2: Convert to fraction form
   6,910.38/10,351.17 = 5,737.50/x
3. Step 3: Cross multiply
   6,910.38x = 10,351.17 × 5,737.50
4. Step 4: Simplify right side
   6,910.38x = 59,389,837.88
5. Step 5: Solve for x
   x = 59,389,837.88/6,910.38
6. Step 6: Final answer
   x = 8,594.29