Finding the Fourth Proportional to 13,697.58, 18,902.61 and 7,409.96

Step by Step Solution

1. Step 1: Write the proportion equation
   13,697.58 : 18,902.61 = 7,409.96 : x
2. Step 2: Convert to fraction form
   13,697.58/18,902.61 = 7,409.96/x
3. Step 3: Cross multiply
   13,697.58x = 18,902.61 × 7,409.96
4. Step 4: Simplify right side
   13,697.58x = 140,067,489.48
5. Step 5: Solve for x
   x = 140,067,489.48/13,697.58
6. Step 6: Final answer
   x = 10,225.71