Finding the Fourth Proportional to 9,902.34, 13,665.23 and 5,426.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,902.34 : 13,665.23 = 5,426.16 : x
2. Step 2: Convert to fraction form
   9,902.34/13,665.23 = 5,426.16/x
3. Step 3: Cross multiply
   9,902.34x = 13,665.23 × 5,426.16
4. Step 4: Simplify right side
   9,902.34x = 74,149,697.29
5. Step 5: Solve for x
   x = 74,149,697.29/9,902.34
6. Step 6: Final answer
   x = 7,488.10