Finding the Fourth Proportional to 1,456.50, 2,009.74 and 867.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.50 : 2,009.74 = 867.02 : x
2. Step 2: Convert to fraction form
   1,456.50/2,009.74 = 867.02/x
3. Step 3: Cross multiply
   1,456.50x = 2,009.74 × 867.02
4. Step 4: Simplify right side
   1,456.50x = 1,742,484.77
5. Step 5: Solve for x
   x = 1,742,484.77/1,456.50
6. Step 6: Final answer
   x = 1,196.35