Finding the Fourth Proportional to 1,055.98, 1,584.27 and 508.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,055.98 : 1,584.27 = 508.61 : x
2. Step 2: Convert to fraction form
   1,055.98/1,584.27 = 508.61/x
3. Step 3: Cross multiply
   1,055.98x = 1,584.27 × 508.61
4. Step 4: Simplify right side
   1,055.98x = 805,775.56
5. Step 5: Solve for x
   x = 805,775.56/1,055.98
6. Step 6: Final answer
   x = 763.06