Finding the Fourth Proportional to 2,003.42, 3,005.15 and 542.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.42 : 3,005.15 = 542.59 : x
2. Step 2: Convert to fraction form
   2,003.42/3,005.15 = 542.59/x
3. Step 3: Cross multiply
   2,003.42x = 3,005.15 × 542.59
4. Step 4: Simplify right side
   2,003.42x = 1,630,564.34
5. Step 5: Solve for x
   x = 1,630,564.34/2,003.42
6. Step 6: Final answer
   x = 813.89