Finding the Fourth Proportional to 1,013.77, 1,520.82 and 389.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013.77 : 1,520.82 = 389.35 : x
2. Step 2: Convert to fraction form
   1,013.77/1,520.82 = 389.35/x
3. Step 3: Cross multiply
   1,013.77x = 1,520.82 × 389.35
4. Step 4: Simplify right side
   1,013.77x = 592,131.27
5. Step 5: Solve for x
   x = 592,131.27/1,013.77
6. Step 6: Final answer
   x = 584.09