Finding the Fourth Proportional to 13,821.54, 19,073.76 and 7,853.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,821.54 : 19,073.76 = 7,853.25 : x
2. Step 2: Convert to fraction form
   13,821.54/19,073.76 = 7,853.25/x
3. Step 3: Cross multiply
   13,821.54x = 19,073.76 × 7,853.25
4. Step 4: Simplify right side
   13,821.54x = 149,791,005.72
5. Step 5: Solve for x
   x = 149,791,005.72/13,821.54
6. Step 6: Final answer
   x = 10,837.50