Finding the Fourth Proportional to 2,002.77, 3,003.84 and 542.03

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.77 : 3,003.84 = 542.03 : x
2. Step 2: Convert to fraction form
   2,002.77/3,003.84 = 542.03/x
3. Step 3: Cross multiply
   2,002.77x = 3,003.84 × 542.03
4. Step 4: Simplify right side
   2,002.77x = 1,628,156.38
5. Step 5: Solve for x
   x = 1,628,156.38/2,002.77
6. Step 6: Final answer
   x = 812.95