Finding the Fourth Proportional to 1,013.77, 1,399.00 and 594.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013.77 : 1,399.00 = 594.10 : x
2. Step 2: Convert to fraction form
   1,013.77/1,399.00 = 594.10/x
3. Step 3: Cross multiply
   1,013.77x = 1,399.00 × 594.10
4. Step 4: Simplify right side
   1,013.77x = 831,139.70
5. Step 5: Solve for x
   x = 831,139.70/1,013.77
6. Step 6: Final answer
   x = 819.85