Finding the Fourth Proportional to 2,002.89, 3,004.32 and 541.93

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.89 : 3,004.32 = 541.93 : x
2. Step 2: Convert to fraction form
   2,002.89/3,004.32 = 541.93/x
3. Step 3: Cross multiply
   2,002.89x = 3,004.32 × 541.93
4. Step 4: Simplify right side
   2,002.89x = 1,628,131.14
5. Step 5: Solve for x
   x = 1,628,131.14/2,002.89
6. Step 6: Final answer
   x = 812.89