Finding the Fourth Proportional to 2,003.55, 3,005.34 and 542.70

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.55 : 3,005.34 = 542.70 : x
2. Step 2: Convert to fraction form
   2,003.55/3,005.34 = 542.70/x
3. Step 3: Cross multiply
   2,003.55x = 3,005.34 × 542.70
4. Step 4: Simplify right side
   2,003.55x = 1,630,998.02
5. Step 5: Solve for x
   x = 1,630,998.02/2,003.55
6. Step 6: Final answer
   x = 814.05