Finding the Fourth Proportional to 2,002.02, 2,762.84 and 1,117.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.02 : 2,762.84 = 1,117.86 : x
2. Step 2: Convert to fraction form
   2,002.02/2,762.84 = 1,117.86/x
3. Step 3: Cross multiply
   2,002.02x = 2,762.84 × 1,117.86
4. Step 4: Simplify right side
   2,002.02x = 3,088,468.32
5. Step 5: Solve for x
   x = 3,088,468.32/2,002.02
6. Step 6: Final answer
   x = 1,542.68