Finding the Fourth Proportional to 1,205.50, 1,663.52 and 667.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,205.50 : 1,663.52 = 667.10 : x
2. Step 2: Convert to fraction form
   1,205.50/1,663.52 = 667.10/x
3. Step 3: Cross multiply
   1,205.50x = 1,663.52 × 667.10
4. Step 4: Simplify right side
   1,205.50x = 1,109,730.86
5. Step 5: Solve for x
   x = 1,109,730.86/1,205.50
6. Step 6: Final answer
   x = 920.56