Finding the Fourth Proportional to 13,002.90, 17,942.49 and 7,697.94

Step by Step Solution

1. Step 1: Write the proportion equation
   13,002.90 : 17,942.49 = 7,697.94 : x
2. Step 2: Convert to fraction form
   13,002.90/17,942.49 = 7,697.94/x
3. Step 3: Cross multiply
   13,002.90x = 17,942.49 × 7,697.94
4. Step 4: Simplify right side
   13,002.90x = 138,120,211.47
5. Step 5: Solve for x
   x = 138,120,211.47/13,002.90
6. Step 6: Final answer
   x = 10,622.26