Finding the Fourth Proportional to 2,002.12, 2,762.80 and 1,117.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.12 : 2,762.80 = 1,117.96 : x
2. Step 2: Convert to fraction form
   2,002.12/2,762.80 = 1,117.96/x
3. Step 3: Cross multiply
   2,002.12x = 2,762.80 × 1,117.96
4. Step 4: Simplify right side
   2,002.12x = 3,088,699.89
5. Step 5: Solve for x
   x = 3,088,699.89/2,002.12
6. Step 6: Final answer
   x = 1,542.71