Finding the Fourth Proportional to 1,279.48, 1,919.76 and 510.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,279.48 : 1,919.76 = 510.52 : x
2. Step 2: Convert to fraction form
   1,279.48/1,919.76 = 510.52/x
3. Step 3: Cross multiply
   1,279.48x = 1,919.76 × 510.52
4. Step 4: Simplify right side
   1,279.48x = 980,075.88
5. Step 5: Solve for x
   x = 980,075.88/1,279.48
6. Step 6: Final answer
   x = 766.00