Finding the Fourth Proportional to 10,465, 14,441.56 and 5,749.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,465 : 14,441.56 = 5,749.20 : x
2. Step 2: Convert to fraction form
   10,465/14,441.56 = 5,749.20/x
3. Step 3: Cross multiply
   10,465x = 14,441.56 × 5,749.20
4. Step 4: Simplify right side
   10,465x = 83,027,416.75
5. Step 5: Solve for x
   x = 83,027,416.75/10,465
6. Step 6: Final answer
   x = 7,933.82