Finding the Fourth Proportional to 9,902.16, 13,665.12 and 5,425.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,902.16 : 13,665.12 = 5,425.84 : x
2. Step 2: Convert to fraction form
   9,902.16/13,665.12 = 5,425.84/x
3. Step 3: Cross multiply
   9,902.16x = 13,665.12 × 5,425.84
4. Step 4: Simplify right side
   9,902.16x = 74,144,754.70
5. Step 5: Solve for x
   x = 74,144,754.70/9,902.16
6. Step 6: Final answer
   x = 7,487.74