Finding the Fourth Proportional to 1,298.72, 1,946.63 and 518.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.72 : 1,946.63 = 518.52 : x
2. Step 2: Convert to fraction form
   1,298.72/1,946.63 = 518.52/x
3. Step 3: Cross multiply
   1,298.72x = 1,946.63 × 518.52
4. Step 4: Simplify right side
   1,298.72x = 1,009,364.00
5. Step 5: Solve for x
   x = 1,009,364.00/1,298.72
6. Step 6: Final answer
   x = 777.20