Finding the Fourth Proportional to 13,857.73, 19,123.64 and 7,570.15

Step by Step Solution

1. Step 1: Write the proportion equation
   13,857.73 : 19,123.64 = 7,570.15 : x
2. Step 2: Convert to fraction form
   13,857.73/19,123.64 = 7,570.15/x
3. Step 3: Cross multiply
   13,857.73x = 19,123.64 × 7,570.15
4. Step 4: Simplify right side
   13,857.73x = 144,768,785.50
5. Step 5: Solve for x
   x = 144,768,785.50/13,857.73
6. Step 6: Final answer
   x = 10,446.79