Finding the Fourth Proportional to 9,965.30, 14,919.15 and 6,077.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,965.30 : 14,919.15 = 6,077.30 : x
2. Step 2: Convert to fraction form
   9,965.30/14,919.15 = 6,077.30/x
3. Step 3: Cross multiply
   9,965.30x = 14,919.15 × 6,077.30
4. Step 4: Simplify right side
   9,965.30x = 90,668,150.30
5. Step 5: Solve for x
   x = 90,668,150.30/9,965.30
6. Step 6: Final answer
   x = 9,098.39