Finding the Fourth Proportional to 3,820.50, 5,731.71 and 1,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,820.50 : 5,731.71 = 1,084.50 : x
2. Step 2: Convert to fraction form
   3,820.50/5,731.71 = 1,084.50/x
3. Step 3: Cross multiply
   3,820.50x = 5,731.71 × 1,084.50
4. Step 4: Simplify right side
   3,820.50x = 6,216,039.50
5. Step 5: Solve for x
   x = 6,216,039.50/3,820.50
6. Step 6: Final answer
   x = 1,627.02