Finding the Fourth Proportional to 1,435.64, 2,152.78 and 510.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,435.64 : 2,152.78 = 510.82 : x
2. Step 2: Convert to fraction form
   1,435.64/2,152.78 = 510.82/x
3. Step 3: Cross multiply
   1,435.64x = 2,152.78 × 510.82
4. Step 4: Simplify right side
   1,435.64x = 1,099,676.42
5. Step 5: Solve for x
   x = 1,099,676.42/1,435.64
6. Step 6: Final answer
   x = 765.99