Finding the Fourth Proportional to 13,852.50, 19,116.59 and 7,565.01

Step by Step Solution

1. Step 1: Write the proportion equation
   13,852.50 : 19,116.59 = 7,565.01 : x
2. Step 2: Convert to fraction form
   13,852.50/19,116.59 = 7,565.01/x
3. Step 3: Cross multiply
   13,852.50x = 19,116.59 × 7,565.01
4. Step 4: Simplify right side
   13,852.50x = 144,617,156.69
5. Step 5: Solve for x
   x = 144,617,156.69/13,852.50
6. Step 6: Final answer
   x = 10,439.79