Finding the Fourth Proportional to 2,003.80, 3,005.34 and 543.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.80 : 3,005.34 = 543.06 : x
2. Step 2: Convert to fraction form
   2,003.80/3,005.34 = 543.06/x
3. Step 3: Cross multiply
   2,003.80x = 3,005.34 × 543.06
4. Step 4: Simplify right side
   2,003.80x = 1,632,079.94
5. Step 5: Solve for x
   x = 1,632,079.94/2,003.80
6. Step 6: Final answer
   x = 814.49