Finding the Fourth Proportional to 9,525.46, 14,293.58 and 5,142.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,525.46 : 14,293.58 = 5,142.82 : x
2. Step 2: Convert to fraction form
   9,525.46/14,293.58 = 5,142.82/x
3. Step 3: Cross multiply
   9,525.46x = 14,293.58 × 5,142.82
4. Step 4: Simplify right side
   9,525.46x = 73,509,250.48
5. Step 5: Solve for x
   x = 73,509,250.48/9,525.46
6. Step 6: Final answer
   x = 7,717.14