Finding the Fourth Proportional to 6,969.78, 10,502.49 and 5,764.20

Step by Step Solution

1. Step 1: Write the proportion equation
   6,969.78 : 10,502.49 = 5,764.20 : x
2. Step 2: Convert to fraction form
   6,969.78/10,502.49 = 5,764.20/x
3. Step 3: Cross multiply
   6,969.78x = 10,502.49 × 5,764.20
4. Step 4: Simplify right side
   6,969.78x = 60,538,435.09
5. Step 5: Solve for x
   x = 60,538,435.09/6,969.78
6. Step 6: Final answer
   x = 8,685.85