Finding the Fourth Proportional to 1,766.34, 2,429.60 and 1,563.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,766.34 : 2,429.60 = 1,563.30 : x
2. Step 2: Convert to fraction form
   1,766.34/2,429.60 = 1,563.30/x
3. Step 3: Cross multiply
   1,766.34x = 2,429.60 × 1,563.30
4. Step 4: Simplify right side
   1,766.34x = 3,798,185.86
5. Step 5: Solve for x
   x = 3,798,185.86/1,766.34
6. Step 6: Final answer
   x = 2,150.31