Finding the Fourth Proportional to 869.82, 1,200.32 and 476.82

Step by Step Solution

1. Step 1: Write the proportion equation
   869.82 : 1,200.32 = 476.82 : x
2. Step 2: Convert to fraction form
   869.82/1,200.32 = 476.82/x
3. Step 3: Cross multiply
   869.82x = 1,200.32 × 476.82
4. Step 4: Simplify right side
   869.82x = 572,336.58
5. Step 5: Solve for x
   x = 572,336.58/869.82
6. Step 6: Final answer
   x = 657.99