Finding the Fourth Proportional to 1,180.86, 1,770.93 and 667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,180.86 : 1,770.93 = 667.50 : x
2. Step 2: Convert to fraction form
   1,180.86/1,770.93 = 667.50/x
3. Step 3: Cross multiply
   1,180.86x = 1,770.93 × 667.50
4. Step 4: Simplify right side
   1,180.86x = 1,182,095.78
5. Step 5: Solve for x
   x = 1,182,095.78/1,180.86
6. Step 6: Final answer
   x = 1,001.05