Finding the Fourth Proportional to 13,852.21, 19,116.12 and 7,564.59

Step by Step Solution

1. Step 1: Write the proportion equation
   13,852.21 : 19,116.12 = 7,564.59 : x
2. Step 2: Convert to fraction form
   13,852.21/19,116.12 = 7,564.59/x
3. Step 3: Cross multiply
   13,852.21x = 19,116.12 × 7,564.59
4. Step 4: Simplify right side
   13,852.21x = 144,605,610.19
5. Step 5: Solve for x
   x = 144,605,610.19/13,852.21
6. Step 6: Final answer
   x = 10,439.17