Finding the Fourth Proportional to 2,002.26, 3,002.62 and 1,384.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.26 : 3,002.62 = 1,384.09 : x
2. Step 2: Convert to fraction form
   2,002.26/3,002.62 = 1,384.09/x
3. Step 3: Cross multiply
   2,002.26x = 3,002.62 × 1,384.09
4. Step 4: Simplify right side
   2,002.26x = 4,155,889.40
5. Step 5: Solve for x
   x = 4,155,889.40/2,002.26
6. Step 6: Final answer
   x = 2,075.60