Finding the Fourth Proportional to 6,906.89, 9,531.49 and 3,763.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,906.89 : 9,531.49 = 3,763.10 : x
2. Step 2: Convert to fraction form
   6,906.89/9,531.49 = 3,763.10/x
3. Step 3: Cross multiply
   6,906.89x = 9,531.49 × 3,763.10
4. Step 4: Simplify right side
   6,906.89x = 35,867,950.02
5. Step 5: Solve for x
   x = 35,867,950.02/6,906.89
6. Step 6: Final answer
   x = 5,193.07