Finding the Fourth Proportional to 2,002.14, 2,762.82 and 1,117.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.14 : 2,762.82 = 1,117.77 : x
2. Step 2: Convert to fraction form
   2,002.14/2,762.82 = 1,117.77/x
3. Step 3: Cross multiply
   2,002.14x = 2,762.82 × 1,117.77
4. Step 4: Simplify right side
   2,002.14x = 3,088,197.31
5. Step 5: Solve for x
   x = 3,088,197.31/2,002.14
6. Step 6: Final answer
   x = 1,542.45