Finding the Fourth Proportional to 820.01, 1,131.71 and 470.69

Step by Step Solution

1. Step 1: Write the proportion equation
   820.01 : 1,131.71 = 470.69 : x
2. Step 2: Convert to fraction form
   820.01/1,131.71 = 470.69/x
3. Step 3: Cross multiply
   820.01x = 1,131.71 × 470.69
4. Step 4: Simplify right side
   820.01x = 532,684.58
5. Step 5: Solve for x
   x = 532,684.58/820.01
6. Step 6: Final answer
   x = 649.61