Finding the Fourth Proportional to 6,839.10, 10,259.25 and 5,012.94

Step by Step Solution

1. Step 1: Write the proportion equation
   6,839.10 : 10,259.25 = 5,012.94 : x
2. Step 2: Convert to fraction form
   6,839.10/10,259.25 = 5,012.94/x
3. Step 3: Cross multiply
   6,839.10x = 10,259.25 × 5,012.94
4. Step 4: Simplify right side
   6,839.10x = 51,429,004.70
5. Step 5: Solve for x
   x = 51,429,004.70/6,839.10
6. Step 6: Final answer
   x = 7,519.85