Finding the Fourth Proportional to 13,857.60, 19,123.47 and 7,569.98

Step by Step Solution

1. Step 1: Write the proportion equation
   13,857.60 : 19,123.47 = 7,569.98 : x
2. Step 2: Convert to fraction form
   13,857.60/19,123.47 = 7,569.98/x
3. Step 3: Cross multiply
   13,857.60x = 19,123.47 × 7,569.98
4. Step 4: Simplify right side
   13,857.60x = 144,764,285.43
5. Step 5: Solve for x
   x = 144,764,285.43/13,857.60
6. Step 6: Final answer
   x = 10,446.56