Finding the Fourth Proportional to 10,614.53, 14,647.74 and 6,077.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,614.53 : 14,647.74 = 6,077.05 : x
2. Step 2: Convert to fraction form
   10,614.53/14,647.74 = 6,077.05/x
3. Step 3: Cross multiply
   10,614.53x = 14,647.74 × 6,077.05
4. Step 4: Simplify right side
   10,614.53x = 89,015,048.37
5. Step 5: Solve for x
   x = 89,015,048.37/10,614.53
6. Step 6: Final answer
   x = 8,386.15