Finding the Fourth Proportional to 10,509.38, 14,502.75 and 5,729.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,509.38 : 14,502.75 = 5,729.37 : x
2. Step 2: Convert to fraction form
   10,509.38/14,502.75 = 5,729.37/x
3. Step 3: Cross multiply
   10,509.38x = 14,502.75 × 5,729.37
4. Step 4: Simplify right side
   10,509.38x = 83,091,620.77
5. Step 5: Solve for x
   x = 83,091,620.77/10,509.38
6. Step 6: Final answer
   x = 7,906.42