Finding the Fourth Proportional to 9,902.16, 13,664.98 and 5,425.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,902.16 : 13,664.98 = 5,425.82 : x
2. Step 2: Convert to fraction form
   9,902.16/13,664.98 = 5,425.82/x
3. Step 3: Cross multiply
   9,902.16x = 13,664.98 × 5,425.82
4. Step 4: Simplify right side
   9,902.16x = 74,143,721.78
5. Step 5: Solve for x
   x = 74,143,721.78/9,902.16
6. Step 6: Final answer
   x = 7,487.63