Finding the Fourth Proportional to 2,120.18, 3,178.59 and 1,024.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,120.18 : 3,178.59 = 1,024.25 : x
2. Step 2: Convert to fraction form
   2,120.18/3,178.59 = 1,024.25/x
3. Step 3: Cross multiply
   2,120.18x = 3,178.59 × 1,024.25
4. Step 4: Simplify right side
   2,120.18x = 3,255,656.84
5. Step 5: Solve for x
   x = 3,255,656.84/2,120.18
6. Step 6: Final answer
   x = 1,535.56