Finding the Fourth Proportional to 10,629.78, 14,669.45 and 7,658.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,629.78 : 14,669.45 = 7,658.20 : x
2. Step 2: Convert to fraction form
   10,629.78/14,669.45 = 7,658.20/x
3. Step 3: Cross multiply
   10,629.78x = 14,669.45 × 7,658.20
4. Step 4: Simplify right side
   10,629.78x = 112,341,551.32
5. Step 5: Solve for x
   x = 112,341,551.32/10,629.78
6. Step 6: Final answer
   x = 10,568.57