Finding the Fourth Proportional to 1,586.32, 2,189.72 and 1,420.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,586.32 : 2,189.72 = 1,420.23 : x
2. Step 2: Convert to fraction form
   1,586.32/2,189.72 = 1,420.23/x
3. Step 3: Cross multiply
   1,586.32x = 2,189.72 × 1,420.23
4. Step 4: Simplify right side
   1,586.32x = 3,109,906.04
5. Step 5: Solve for x
   x = 3,109,906.04/1,586.32
6. Step 6: Final answer
   x = 1,960.45