Finding the Fourth Proportional to 1,298.00, 1,947.15 and 517.97

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.00 : 1,947.15 = 517.97 : x
2. Step 2: Convert to fraction form
   1,298.00/1,947.15 = 517.97/x
3. Step 3: Cross multiply
   1,298.00x = 1,947.15 × 517.97
4. Step 4: Simplify right side
   1,298.00x = 1,008,555.55
5. Step 5: Solve for x
   x = 1,008,555.55/1,298.00
6. Step 6: Final answer
   x = 777.01