Finding the Fourth Proportional to 10,622.25, 14,648.65 and 7,748.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,622.25 : 14,648.65 = 7,748.37 : x
2. Step 2: Convert to fraction form
   10,622.25/14,648.65 = 7,748.37/x
3. Step 3: Cross multiply
   10,622.25x = 14,648.65 × 7,748.37
4. Step 4: Simplify right side
   10,622.25x = 113,503,140.83
5. Step 5: Solve for x
   x = 113,503,140.83/10,622.25
6. Step 6: Final answer
   x = 10,685.41