Finding the Fourth Proportional to 1,005.77, 1,508.71 and 275.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.77 : 1,508.71 = 275.33 : x
2. Step 2: Convert to fraction form
   1,005.77/1,508.71 = 275.33/x
3. Step 3: Cross multiply
   1,005.77x = 1,508.71 × 275.33
4. Step 4: Simplify right side
   1,005.77x = 415,385.58
5. Step 5: Solve for x
   x = 415,385.58/1,005.77
6. Step 6: Final answer
   x = 413.00