Finding the Fourth Proportional to 2,892.10, 3,991.72 and 1,829.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,892.10 : 3,991.72 = 1,829.18 : x
2. Step 2: Convert to fraction form
   2,892.10/3,991.72 = 1,829.18/x
3. Step 3: Cross multiply
   2,892.10x = 3,991.72 × 1,829.18
4. Step 4: Simplify right side
   2,892.10x = 7,301,574.39
5. Step 5: Solve for x
   x = 7,301,574.39/2,892.10
6. Step 6: Final answer
   x = 2,524.66