Finding the Fourth Proportional to 1,050.64, 1,449.93 and 584.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,050.64 : 1,449.93 = 584.89 : x
2. Step 2: Convert to fraction form
   1,050.64/1,449.93 = 584.89/x
3. Step 3: Cross multiply
   1,050.64x = 1,449.93 × 584.89
4. Step 4: Simplify right side
   1,050.64x = 848,049.56
5. Step 5: Solve for x
   x = 848,049.56/1,050.64
6. Step 6: Final answer
   x = 807.17