Finding the Fourth Proportional to 10,828.91, 14,938.20 and 7,465.95

Step by Step Solution

1. Step 1: Write the proportion equation
   10,828.91 : 14,938.20 = 7,465.95 : x
2. Step 2: Convert to fraction form
   10,828.91/14,938.20 = 7,465.95/x
3. Step 3: Cross multiply
   10,828.91x = 14,938.20 × 7,465.95
4. Step 4: Simplify right side
   10,828.91x = 111,527,854.29
5. Step 5: Solve for x
   x = 111,527,854.29/10,828.91
6. Step 6: Final answer
   x = 10,299.08