Finding the Fourth Proportional to 13,538.34, 18,682.38 and 7,569.99

Step by Step Solution

1. Step 1: Write the proportion equation
   13,538.34 : 18,682.38 = 7,569.99 : x
2. Step 2: Convert to fraction form
   13,538.34/18,682.38 = 7,569.99/x
3. Step 3: Cross multiply
   13,538.34x = 18,682.38 × 7,569.99
4. Step 4: Simplify right side
   13,538.34x = 141,425,429.78
5. Step 5: Solve for x
   x = 141,425,429.78/13,538.34
6. Step 6: Final answer
   x = 10,446.29