Finding the Fourth Proportional to 9,902.48, 13,665.42 and 5,426.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,902.48 : 13,665.42 = 5,426.40 : x
2. Step 2: Convert to fraction form
   9,902.48/13,665.42 = 5,426.40/x
3. Step 3: Cross multiply
   9,902.48x = 13,665.42 × 5,426.40
4. Step 4: Simplify right side
   9,902.48x = 74,154,035.09
5. Step 5: Solve for x
   x = 74,154,035.09/9,902.48
6. Step 6: Final answer
   x = 7,488.43