Finding the Fourth Proportional to 2,762.62, 3,810.72 and 1,642.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,762.62 : 3,810.72 = 1,642.80 : x
2. Step 2: Convert to fraction form
   2,762.62/3,810.72 = 1,642.80/x
3. Step 3: Cross multiply
   2,762.62x = 3,810.72 × 1,642.80
4. Step 4: Simplify right side
   2,762.62x = 6,260,250.82
5. Step 5: Solve for x
   x = 6,260,250.82/2,762.62
6. Step 6: Final answer
   x = 2,266.06