Finding the Fourth Proportional to 13,852.39, 19,116.69 and 7,565.17

Step by Step Solution

1. Step 1: Write the proportion equation
   13,852.39 : 19,116.69 = 7,565.17 : x
2. Step 2: Convert to fraction form
   13,852.39/19,116.69 = 7,565.17/x
3. Step 3: Cross multiply
   13,852.39x = 19,116.69 × 7,565.17
4. Step 4: Simplify right side
   13,852.39x = 144,621,009.69
5. Step 5: Solve for x
   x = 144,621,009.69/13,852.39
6. Step 6: Final answer
   x = 10,440.15