Finding the Fourth Proportional to 3,466.96, 5,200.38 and 869.86

Step by Step Solution

1. Step 1: Write the proportion equation
   3,466.96 : 5,200.38 = 869.86 : x
2. Step 2: Convert to fraction form
   3,466.96/5,200.38 = 869.86/x
3. Step 3: Cross multiply
   3,466.96x = 5,200.38 × 869.86
4. Step 4: Simplify right side
   3,466.96x = 4,523,602.55
5. Step 5: Solve for x
   x = 4,523,602.55/3,466.96
6. Step 6: Final answer
   x = 1,304.77