Finding the Fourth Proportional to 10,465.34, 14,441.67 and 5,749.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,465.34 : 14,441.67 = 5,749.52 : x
2. Step 2: Convert to fraction form
   10,465.34/14,441.67 = 5,749.52/x
3. Step 3: Cross multiply
   10,465.34x = 14,441.67 × 5,749.52
4. Step 4: Simplify right side
   10,465.34x = 83,032,598.29
5. Step 5: Solve for x
   x = 83,032,598.29/10,465.34
6. Step 6: Final answer
   x = 7,934.06