Finding the Fourth Proportional to 13,857.58, 19,123.33 and 7,569.82

Step by Step Solution

1. Step 1: Write the proportion equation
   13,857.58 : 19,123.33 = 7,569.82 : x
2. Step 2: Convert to fraction form
   13,857.58/19,123.33 = 7,569.82/x
3. Step 3: Cross multiply
   13,857.58x = 19,123.33 × 7,569.82
4. Step 4: Simplify right side
   13,857.58x = 144,760,070.28
5. Step 5: Solve for x
   x = 144,760,070.28/13,857.58
6. Step 6: Final answer
   x = 10,446.28