Finding the Fourth Proportional to 2,099.34, 3,147.80 and 1,002.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,099.34 : 3,147.80 = 1,002.20 : x
2. Step 2: Convert to fraction form
   2,099.34/3,147.80 = 1,002.20/x
3. Step 3: Cross multiply
   2,099.34x = 3,147.80 × 1,002.20
4. Step 4: Simplify right side
   2,099.34x = 3,154,704.41
5. Step 5: Solve for x
   x = 3,154,704.41/2,099.34
6. Step 6: Final answer
   x = 1,502.71