Finding the Fourth Proportional to 1,105.91, 1,656.64 and 512.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.91 : 1,656.64 = 512.10 : x
2. Step 2: Convert to fraction form
   1,105.91/1,656.64 = 512.10/x
3. Step 3: Cross multiply
   1,105.91x = 1,656.64 × 512.10
4. Step 4: Simplify right side
   1,105.91x = 848,360.73
5. Step 5: Solve for x
   x = 848,360.73/1,105.91
6. Step 6: Final answer
   x = 767.11