Finding the Fourth Proportional to 9,625.94, 13,283.86 and 5,647.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,625.94 : 13,283.86 = 5,647.14 : x
2. Step 2: Convert to fraction form
   9,625.94/13,283.86 = 5,647.14/x
3. Step 3: Cross multiply
   9,625.94x = 13,283.86 × 5,647.14
4. Step 4: Simplify right side
   9,625.94x = 75,015,817.16
5. Step 5: Solve for x
   x = 75,015,817.16/9,625.94
6. Step 6: Final answer
   x = 7,793.09