Finding the Fourth Proportional to 1,375.42, 2,062.59 and 509.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,375.42 : 2,062.59 = 509.50 : x
2. Step 2: Convert to fraction form
   1,375.42/2,062.59 = 509.50/x
3. Step 3: Cross multiply
   1,375.42x = 2,062.59 × 509.50
4. Step 4: Simplify right side
   1,375.42x = 1,050,889.61
5. Step 5: Solve for x
   x = 1,050,889.61/1,375.42
6. Step 6: Final answer
   x = 764.05