Finding the Fourth Proportional to 1,189.82, 1,777.48 and 1,146.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.82 : 1,777.48 = 1,146.62 : x
2. Step 2: Convert to fraction form
   1,189.82/1,777.48 = 1,146.62/x
3. Step 3: Cross multiply
   1,189.82x = 1,777.48 × 1,146.62
4. Step 4: Simplify right side
   1,189.82x = 2,038,094.12
5. Step 5: Solve for x
   x = 2,038,094.12/1,189.82
6. Step 6: Final answer
   x = 1,712.94