Finding the Fourth Proportional to 1,435.76, 2,152.27 and 510.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,435.76 : 2,152.27 = 510.83 : x
2. Step 2: Convert to fraction form
   1,435.76/2,152.27 = 510.83/x
3. Step 3: Cross multiply
   1,435.76x = 2,152.27 × 510.83
4. Step 4: Simplify right side
   1,435.76x = 1,099,448.09
5. Step 5: Solve for x
   x = 1,099,448.09/1,435.76
6. Step 6: Final answer
   x = 765.76