Finding the Fourth Proportional to 2,002.10, 2,762.80 and 1,117.87

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.10 : 2,762.80 = 1,117.87 : x
2. Step 2: Convert to fraction form
   2,002.10/2,762.80 = 1,117.87/x
3. Step 3: Cross multiply
   2,002.10x = 2,762.80 × 1,117.87
4. Step 4: Simplify right side
   2,002.10x = 3,088,441.53
5. Step 5: Solve for x
   x = 3,088,441.53/2,002.10
6. Step 6: Final answer
   x = 1,542.60