Finding the Fourth Proportional to 1,584.63, 2,186.69 and 921.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.63 : 2,186.69 = 921.38 : x
2. Step 2: Convert to fraction form
   1,584.63/2,186.69 = 921.38/x
3. Step 3: Cross multiply
   1,584.63x = 2,186.69 × 921.38
4. Step 4: Simplify right side
   1,584.63x = 2,014,756.89
5. Step 5: Solve for x
   x = 2,014,756.89/1,584.63
6. Step 6: Final answer
   x = 1,271.44