Finding the Fourth Proportional to 3,002.09, 4,141.16 and 1,806.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,002.09 : 4,141.16 = 1,806.25 : x
2. Step 2: Convert to fraction form
   3,002.09/4,141.16 = 1,806.25/x
3. Step 3: Cross multiply
   3,002.09x = 4,141.16 × 1,806.25
4. Step 4: Simplify right side
   3,002.09x = 7,479,970.25
5. Step 5: Solve for x
   x = 7,479,970.25/3,002.09
6. Step 6: Final answer
   x = 2,491.59