Finding the Fourth Proportional to 2,002.10, 2,999.17 and 1,567.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.10 : 2,999.17 = 1,567.22 : x
2. Step 2: Convert to fraction form
   2,002.10/2,999.17 = 1,567.22/x
3. Step 3: Cross multiply
   2,002.10x = 2,999.17 × 1,567.22
4. Step 4: Simplify right side
   2,002.10x = 4,700,359.21
5. Step 5: Solve for x
   x = 4,700,359.21/2,002.10
6. Step 6: Final answer
   x = 2,347.71