Finding the Fourth Proportional to 1,590.63, 2,384.46 and 809.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,590.63 : 2,384.46 = 809.52 : x
2. Step 2: Convert to fraction form
   1,590.63/2,384.46 = 809.52/x
3. Step 3: Cross multiply
   1,590.63x = 2,384.46 × 809.52
4. Step 4: Simplify right side
   1,590.63x = 1,930,268.06
5. Step 5: Solve for x
   x = 1,930,268.06/1,590.63
6. Step 6: Final answer
   x = 1,213.52