Finding the Fourth Proportional to 6,884.02, 10,315.52 and 5,120.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,884.02 : 10,315.52 = 5,120.50 : x
2. Step 2: Convert to fraction form
   6,884.02/10,315.52 = 5,120.50/x
3. Step 3: Cross multiply
   6,884.02x = 10,315.52 × 5,120.50
4. Step 4: Simplify right side
   6,884.02x = 52,820,568.58
5. Step 5: Solve for x
   x = 52,820,568.58/6,884.02
6. Step 6: Final answer
   x = 7,672.92