Finding the Fourth Proportional to 12,838.98, 17,722.50 and 7,538.24

Step by Step Solution

1. Step 1: Write the proportion equation
   12,838.98 : 17,722.50 = 7,538.24 : x
2. Step 2: Convert to fraction form
   12,838.98/17,722.50 = 7,538.24/x
3. Step 3: Cross multiply
   12,838.98x = 17,722.50 × 7,538.24
4. Step 4: Simplify right side
   12,838.98x = 133,596,458.40
5. Step 5: Solve for x
   x = 133,596,458.40/12,838.98
6. Step 6: Final answer
   x = 10,405.54