Finding the Fourth Proportional to 9,902.42, 13,665.64 and 5,426.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,902.42 : 13,665.64 = 5,426.58 : x
2. Step 2: Convert to fraction form
   9,902.42/13,665.64 = 5,426.58/x
3. Step 3: Cross multiply
   9,902.42x = 13,665.64 × 5,426.58
4. Step 4: Simplify right side
   9,902.42x = 74,157,688.71
5. Step 5: Solve for x
   x = 74,157,688.71/9,902.42
6. Step 6: Final answer
   x = 7,488.85