Finding the Fourth Proportional to 6,886.28, 9,502.71 and 3,902.15

Step by Step Solution

1. Step 1: Write the proportion equation
   6,886.28 : 9,502.71 = 3,902.15 : x
2. Step 2: Convert to fraction form
   6,886.28/9,502.71 = 3,902.15/x
3. Step 3: Cross multiply
   6,886.28x = 9,502.71 × 3,902.15
4. Step 4: Simplify right side
   6,886.28x = 37,081,008.95
5. Step 5: Solve for x
   x = 37,081,008.95/6,886.28
6. Step 6: Final answer
   x = 5,384.76