Finding the Fourth Proportional to 13,853.56, 19,117.20 and 7,564.72

Step by Step Solution

1. Step 1: Write the proportion equation
   13,853.56 : 19,117.20 = 7,564.72 : x
2. Step 2: Convert to fraction form
   13,853.56/19,117.20 = 7,564.72/x
3. Step 3: Cross multiply
   13,853.56x = 19,117.20 × 7,564.72
4. Step 4: Simplify right side
   13,853.56x = 144,616,265.18
5. Step 5: Solve for x
   x = 144,616,265.18/13,853.56
6. Step 6: Final answer
   x = 10,438.92