Finding the Fourth Proportional to 9,874.16, 13,625.78 and 5,787.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,874.16 : 13,625.78 = 5,787.20 : x
2. Step 2: Convert to fraction form
   9,874.16/13,625.78 = 5,787.20/x
3. Step 3: Cross multiply
   9,874.16x = 13,625.78 × 5,787.20
4. Step 4: Simplify right side
   9,874.16x = 78,855,114.02
5. Step 5: Solve for x
   x = 78,855,114.02/9,874.16
6. Step 6: Final answer
   x = 7,986.01