Finding the Fourth Proportional to 1,662.50, 2,493.72 and 567.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,662.50 : 2,493.72 = 567.63 : x
2. Step 2: Convert to fraction form
   1,662.50/2,493.72 = 567.63/x
3. Step 3: Cross multiply
   1,662.50x = 2,493.72 × 567.63
4. Step 4: Simplify right side
   1,662.50x = 1,415,510.28
5. Step 5: Solve for x
   x = 1,415,510.28/1,662.50
6. Step 6: Final answer
   x = 851.44