Finding the Fourth Proportional to 825.41, 1,139.00 and 471.42

Step by Step Solution

1. Step 1: Write the proportion equation
   825.41 : 1,139.00 = 471.42 : x
2. Step 2: Convert to fraction form
   825.41/1,139.00 = 471.42/x
3. Step 3: Cross multiply
   825.41x = 1,139.00 × 471.42
4. Step 4: Simplify right side
   825.41x = 536,945.02
5. Step 5: Solve for x
   x = 536,945.02/825.41
6. Step 6: Final answer
   x = 650.52