Finding the Fourth Proportional to 9,410.93, 12,986.89 and 5,824.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,410.93 : 12,986.89 = 5,824.94 : x
2. Step 2: Convert to fraction form
   9,410.93/12,986.89 = 5,824.94/x
3. Step 3: Cross multiply
   9,410.93x = 12,986.89 × 5,824.94
4. Step 4: Simplify right side
   9,410.93x = 75,647,775.54
5. Step 5: Solve for x
   x = 75,647,775.54/9,410.93
6. Step 6: Final answer
   x = 8,038.29