Finding the Fourth Proportional to 2,114.47, 2,914.46 and 1,589.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,114.47 : 2,914.46 = 1,589.59 : x
2. Step 2: Convert to fraction form
   2,114.47/2,914.46 = 1,589.59/x
3. Step 3: Cross multiply
   2,114.47x = 2,914.46 × 1,589.59
4. Step 4: Simplify right side
   2,114.47x = 4,632,796.47
5. Step 5: Solve for x
   x = 4,632,796.47/2,114.47
6. Step 6: Final answer
   x = 2,191.00