Finding the Fourth Proportional to 13,852.69, 19,116.71 and 7,565.06

Step by Step Solution

1. Step 1: Write the proportion equation
   13,852.69 : 19,116.71 = 7,565.06 : x
2. Step 2: Convert to fraction form
   13,852.69/19,116.71 = 7,565.06/x
3. Step 3: Cross multiply
   13,852.69x = 19,116.71 × 7,565.06
4. Step 4: Simplify right side
   13,852.69x = 144,619,096.49
5. Step 5: Solve for x
   x = 144,619,096.49/13,852.69
6. Step 6: Final answer
   x = 10,439.79