Finding the Fourth Proportional to 1,162.58, 1,742.79 and 512.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.58 : 1,742.79 = 512.96 : x
2. Step 2: Convert to fraction form
   1,162.58/1,742.79 = 512.96/x
3. Step 3: Cross multiply
   1,162.58x = 1,742.79 × 512.96
4. Step 4: Simplify right side
   1,162.58x = 893,981.56
5. Step 5: Solve for x
   x = 893,981.56/1,162.58
6. Step 6: Final answer
   x = 768.96