Finding the Fourth Proportional to 1,409.91, 2,116.98 and 864.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.91 : 2,116.98 = 864.37 : x
2. Step 2: Convert to fraction form
   1,409.91/2,116.98 = 864.37/x
3. Step 3: Cross multiply
   1,409.91x = 2,116.98 × 864.37
4. Step 4: Simplify right side
   1,409.91x = 1,829,854.00
5. Step 5: Solve for x
   x = 1,829,854.00/1,409.91
6. Step 6: Final answer
   x = 1,297.85