Finding the Fourth Proportional to 9,384.42, 12,932.34 and 7,142.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,384.42 : 12,932.34 = 7,142.75 : x
2. Step 2: Convert to fraction form
   9,384.42/12,932.34 = 7,142.75/x
3. Step 3: Cross multiply
   9,384.42x = 12,932.34 × 7,142.75
4. Step 4: Simplify right side
   9,384.42x = 92,372,406.87
5. Step 5: Solve for x
   x = 92,372,406.87/9,384.42
6. Step 6: Final answer
   x = 9,843.17