Finding the Fourth Proportional to 3,461.21, 5,191.52 and 864.15

Step by Step Solution

1. Step 1: Write the proportion equation
   3,461.21 : 5,191.52 = 864.15 : x
2. Step 2: Convert to fraction form
   3,461.21/5,191.52 = 864.15/x
3. Step 3: Cross multiply
   3,461.21x = 5,191.52 × 864.15
4. Step 4: Simplify right side
   3,461.21x = 4,486,247.69
5. Step 5: Solve for x
   x = 4,486,247.69/3,461.21
6. Step 6: Final answer
   x = 1,296.15