Finding the Fourth Proportional to 2,004.10, 3,005.91 and 543.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.10 : 3,005.91 = 543.37 : x
2. Step 2: Convert to fraction form
   2,004.10/3,005.91 = 543.37/x
3. Step 3: Cross multiply
   2,004.10x = 3,005.91 × 543.37
4. Step 4: Simplify right side
   2,004.10x = 1,633,321.32
5. Step 5: Solve for x
   x = 1,633,321.32/2,004.10
6. Step 6: Final answer
   x = 814.99