Finding the Fourth Proportional to 2,123.61, 3,185.55 and 563.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.61 : 3,185.55 = 563.59 : x
2. Step 2: Convert to fraction form
   2,123.61/3,185.55 = 563.59/x
3. Step 3: Cross multiply
   2,123.61x = 3,185.55 × 563.59
4. Step 4: Simplify right side
   2,123.61x = 1,795,328.20
5. Step 5: Solve for x
   x = 1,795,328.20/2,123.61
6. Step 6: Final answer
   x = 845.42