Finding the Fourth Proportional to 10,678.22, 14,736.60 and 5,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,678.22 : 14,736.60 = 5,962.50 : x
2. Step 2: Convert to fraction form
   10,678.22/14,736.60 = 5,962.50/x
3. Step 3: Cross multiply
   10,678.22x = 14,736.60 × 5,962.50
4. Step 4: Simplify right side
   10,678.22x = 87,866,977.50
5. Step 5: Solve for x
   x = 87,866,977.50/10,678.22
6. Step 6: Final answer
   x = 8,228.62