Finding the Fourth Proportional to 3,820.50, 5,732.46 and 1,741.05

Step by Step Solution

1. Step 1: Write the proportion equation
   3,820.50 : 5,732.46 = 1,741.05 : x
2. Step 2: Convert to fraction form
   3,820.50/5,732.46 = 1,741.05/x
3. Step 3: Cross multiply
   3,820.50x = 5,732.46 × 1,741.05
4. Step 4: Simplify right side
   3,820.50x = 9,980,499.48
5. Step 5: Solve for x
   x = 9,980,499.48/3,820.50
6. Step 6: Final answer
   x = 2,612.35