Finding the Fourth Proportional to 10,669.89, 15,989.57 and 7,836.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,669.89 : 15,989.57 = 7,836.50 : x
2. Step 2: Convert to fraction form
   10,669.89/15,989.57 = 7,836.50/x
3. Step 3: Cross multiply
   10,669.89x = 15,989.57 × 7,836.50
4. Step 4: Simplify right side
   10,669.89x = 125,302,265.31
5. Step 5: Solve for x
   x = 125,302,265.31/10,669.89
6. Step 6: Final answer
   x = 11,743.54