Finding the Fourth Proportional to 10,261.25, 14,164.17 and 6,069.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,261.25 : 14,164.17 = 6,069.50 : x
2. Step 2: Convert to fraction form
   10,261.25/14,164.17 = 6,069.50/x
3. Step 3: Cross multiply
   10,261.25x = 14,164.17 × 6,069.50
4. Step 4: Simplify right side
   10,261.25x = 85,969,429.82
5. Step 5: Solve for x
   x = 85,969,429.82/10,261.25
6. Step 6: Final answer
   x = 8,378.07