Finding the Fourth Proportional to 2,003.67, 3,005.48 and 542.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.67 : 3,005.48 = 542.86 : x
2. Step 2: Convert to fraction form
   2,003.67/3,005.48 = 542.86/x
3. Step 3: Cross multiply
   2,003.67x = 3,005.48 × 542.86
4. Step 4: Simplify right side
   2,003.67x = 1,631,548.72
5. Step 5: Solve for x
   x = 1,631,548.72/2,003.67
6. Step 6: Final answer
   x = 814.28