Finding the Fourth Proportional to 10,634.06, 14,674.37 and 5,853.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,634.06 : 14,674.37 = 5,853.20 : x
2. Step 2: Convert to fraction form
   10,634.06/14,674.37 = 5,853.20/x
3. Step 3: Cross multiply
   10,634.06x = 14,674.37 × 5,853.20
4. Step 4: Simplify right side
   10,634.06x = 85,891,919.85
5. Step 5: Solve for x
   x = 85,891,919.85/10,634.06
6. Step 6: Final answer
   x = 8,077.06