Finding the Fourth Proportional to 10,627.26, 14,665.54 and 5,911.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,627.26 : 14,665.54 = 5,911.50 : x
2. Step 2: Convert to fraction form
   10,627.26/14,665.54 = 5,911.50/x
3. Step 3: Cross multiply
   10,627.26x = 14,665.54 × 5,911.50
4. Step 4: Simplify right side
   10,627.26x = 86,695,339.71
5. Step 5: Solve for x
   x = 86,695,339.71/10,627.26
6. Step 6: Final answer
   x = 8,157.83