Finding the Fourth Proportional to 13,857.75, 19,123.83 and 7,570.53

Step by Step Solution

1. Step 1: Write the proportion equation
   13,857.75 : 19,123.83 = 7,570.53 : x
2. Step 2: Convert to fraction form
   13,857.75/19,123.83 = 7,570.53/x
3. Step 3: Cross multiply
   13,857.75x = 19,123.83 × 7,570.53
4. Step 4: Simplify right side
   13,857.75x = 144,777,528.73
5. Step 5: Solve for x
   x = 144,777,528.73/13,857.75
6. Step 6: Final answer
   x = 10,447.41