Finding the Fourth Proportional to 2,178.06, 3,268.71 and 1,024.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178.06 : 3,268.71 = 1,024.62 : x
2. Step 2: Convert to fraction form
   2,178.06/3,268.71 = 1,024.62/x
3. Step 3: Cross multiply
   2,178.06x = 3,268.71 × 1,024.62
4. Step 4: Simplify right side
   2,178.06x = 3,349,185.64
5. Step 5: Solve for x
   x = 3,349,185.64/2,178.06
6. Step 6: Final answer
   x = 1,537.69