Finding the Fourth Proportional to 10,617.08, 14,651.67 and 5,837.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,617.08 : 14,651.67 = 5,837.27 : x
2. Step 2: Convert to fraction form
   10,617.08/14,651.67 = 5,837.27/x
3. Step 3: Cross multiply
   10,617.08x = 14,651.67 × 5,837.27
4. Step 4: Simplify right side
   10,617.08x = 85,525,680.48
5. Step 5: Solve for x
   x = 85,525,680.48/10,617.08
6. Step 6: Final answer
   x = 8,055.48