Finding the Fourth Proportional to 1,300.63, 1,951.88 and 520.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.63 : 1,951.88 = 520.18 : x
2. Step 2: Convert to fraction form
   1,300.63/1,951.88 = 520.18/x
3. Step 3: Cross multiply
   1,300.63x = 1,951.88 × 520.18
4. Step 4: Simplify right side
   1,300.63x = 1,015,328.94
5. Step 5: Solve for x
   x = 1,015,328.94/1,300.63
6. Step 6: Final answer
   x = 780.64