Finding the Fourth Proportional to 6,910.64, 9,535.61 and 3,885.17

Step by Step Solution

1. Step 1: Write the proportion equation
   6,910.64 : 9,535.61 = 3,885.17 : x
2. Step 2: Convert to fraction form
   6,910.64/9,535.61 = 3,885.17/x
3. Step 3: Cross multiply
   6,910.64x = 9,535.61 × 3,885.17
4. Step 4: Simplify right side
   6,910.64x = 37,047,398.80
5. Step 5: Solve for x
   x = 37,047,398.80/6,910.64
6. Step 6: Final answer
   x = 5,360.93