Finding the Fourth Proportional to 9,435.96, 14,142.87 and 5,056.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,435.96 : 14,142.87 = 5,056.56 : x
2. Step 2: Convert to fraction form
   9,435.96/14,142.87 = 5,056.56/x
3. Step 3: Cross multiply
   9,435.96x = 14,142.87 × 5,056.56
4. Step 4: Simplify right side
   9,435.96x = 71,514,270.73
5. Step 5: Solve for x
   x = 71,514,270.73/9,435.96
6. Step 6: Final answer
   x = 7,578.91