Finding the Fourth Proportional to 13,857.31, 19,123.28 and 7,569.69

Step by Step Solution

1. Step 1: Write the proportion equation
   13,857.31 : 19,123.28 = 7,569.69 : x
2. Step 2: Convert to fraction form
   13,857.31/19,123.28 = 7,569.69/x
3. Step 3: Cross multiply
   13,857.31x = 19,123.28 × 7,569.69
4. Step 4: Simplify right side
   13,857.31x = 144,757,301.38
5. Step 5: Solve for x
   x = 144,757,301.38/13,857.31
6. Step 6: Final answer
   x = 10,446.28