Finding the Fourth Proportional to 3,820.50, 5,272.37 and 2,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,820.50 : 5,272.37 = 2,164.50 : x
2. Step 2: Convert to fraction form
   3,820.50/5,272.37 = 2,164.50/x
3. Step 3: Cross multiply
   3,820.50x = 5,272.37 × 2,164.50
4. Step 4: Simplify right side
   3,820.50x = 11,412,044.87
5. Step 5: Solve for x
   x = 11,412,044.87/3,820.50
6. Step 6: Final answer
   x = 2,987.06