Finding the Fourth Proportional to 6,727.02, 10,077.16 and 5,259.30

Step by Step Solution

1. Step 1: Write the proportion equation
   6,727.02 : 10,077.16 = 5,259.30 : x
2. Step 2: Convert to fraction form
   6,727.02/10,077.16 = 5,259.30/x
3. Step 3: Cross multiply
   6,727.02x = 10,077.16 × 5,259.30
4. Step 4: Simplify right side
   6,727.02x = 52,998,807.59
5. Step 5: Solve for x
   x = 52,998,807.59/6,727.02
6. Step 6: Final answer
   x = 7,878.50