Finding the Fourth Proportional to 2,563.30, 3,842.34 and 1,175.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.30 : 3,842.34 = 1,175.68 : x
2. Step 2: Convert to fraction form
   2,563.30/3,842.34 = 1,175.68/x
3. Step 3: Cross multiply
   2,563.30x = 3,842.34 × 1,175.68
4. Step 4: Simplify right side
   2,563.30x = 4,517,362.29
5. Step 5: Solve for x
   x = 4,517,362.29/2,563.30
6. Step 6: Final answer
   x = 1,762.32