Finding the Fourth Proportional to 10,617.21, 14,651.55 and 5,837.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,617.21 : 14,651.55 = 5,837.27 : x
2. Step 2: Convert to fraction form
   10,617.21/14,651.55 = 5,837.27/x
3. Step 3: Cross multiply
   10,617.21x = 14,651.55 × 5,837.27
4. Step 4: Simplify right side
   10,617.21x = 85,524,980.01
5. Step 5: Solve for x
   x = 85,524,980.01/10,617.21
6. Step 6: Final answer
   x = 8,055.32