Finding the Fourth Proportional to 2,123.06, 3,184.27 and 563.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.06 : 3,184.27 = 563.15 : x
2. Step 2: Convert to fraction form
   2,123.06/3,184.27 = 563.15/x
3. Step 3: Cross multiply
   2,123.06x = 3,184.27 × 563.15
4. Step 4: Simplify right side
   2,123.06x = 1,793,230.32
5. Step 5: Solve for x
   x = 1,793,230.32/2,123.06
6. Step 6: Final answer
   x = 844.65