Finding the Fourth Proportional to 10,614.24, 14,647.61 and 5,834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,614.24 : 14,647.61 = 5,834.50 : x
2. Step 2: Convert to fraction form
   10,614.24/14,647.61 = 5,834.50/x
3. Step 3: Cross multiply
   10,614.24x = 14,647.61 × 5,834.50
4. Step 4: Simplify right side
   10,614.24x = 85,461,458.51
5. Step 5: Solve for x
   x = 85,461,458.51/10,614.24
6. Step 6: Final answer
   x = 8,051.59