Finding the Fourth Proportional to 2,563.59, 3,845.57 and 920.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.59 : 3,845.57 = 920.15 : x
2. Step 2: Convert to fraction form
   2,563.59/3,845.57 = 920.15/x
3. Step 3: Cross multiply
   2,563.59x = 3,845.57 × 920.15
4. Step 4: Simplify right side
   2,563.59x = 3,538,501.24
5. Step 5: Solve for x
   x = 3,538,501.24/2,563.59
6. Step 6: Final answer
   x = 1,380.29