Finding the Fourth Proportional to 10,525.64, 14,525.68 and 5,745.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,525.64 : 14,525.68 = 5,745.89 : x
2. Step 2: Convert to fraction form
   10,525.64/14,525.68 = 5,745.89/x
3. Step 3: Cross multiply
   10,525.64x = 14,525.68 × 5,745.89
4. Step 4: Simplify right side
   10,525.64x = 83,462,910.47
5. Step 5: Solve for x
   x = 83,462,910.47/10,525.64
6. Step 6: Final answer
   x = 7,929.49