Finding the Fourth Proportional to 13,857.31, 19,123.57 and 7,570.09

Step by Step Solution

1. Step 1: Write the proportion equation
   13,857.31 : 19,123.57 = 7,570.09 : x
2. Step 2: Convert to fraction form
   13,857.31/19,123.57 = 7,570.09/x
3. Step 3: Cross multiply
   13,857.31x = 19,123.57 × 7,570.09
4. Step 4: Simplify right side
   13,857.31x = 144,767,146.02
5. Step 5: Solve for x
   x = 144,767,146.02/13,857.31
6. Step 6: Final answer
   x = 10,446.99