Finding the Fourth Proportional to 13,845, 19,106.16 and 7,557.42

Step by Step Solution

1. Step 1: Write the proportion equation
   13,845 : 19,106.16 = 7,557.42 : x
2. Step 2: Convert to fraction form
   13,845/19,106.16 = 7,557.42/x
3. Step 3: Cross multiply
   13,845x = 19,106.16 × 7,557.42
4. Step 4: Simplify right side
   13,845x = 144,393,275.71
5. Step 5: Solve for x
   x = 144,393,275.71/13,845
6. Step 6: Final answer
   x = 10,429.27