Finding the Fourth Proportional to 2,002.80, 3,003.84 and 542.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.80 : 3,003.84 = 542.06 : x
2. Step 2: Convert to fraction form
   2,002.80/3,003.84 = 542.06/x
3. Step 3: Cross multiply
   2,002.80x = 3,003.84 × 542.06
4. Step 4: Simplify right side
   2,002.80x = 1,628,261.51
5. Step 5: Solve for x
   x = 1,628,261.51/2,002.80
6. Step 6: Final answer
   x = 812.99