Finding the Fourth Proportional to 1,142.48, 1,705.35 and 981.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.48 : 1,705.35 = 981.20 : x
2. Step 2: Convert to fraction form
   1,142.48/1,705.35 = 981.20/x
3. Step 3: Cross multiply
   1,142.48x = 1,705.35 × 981.20
4. Step 4: Simplify right side
   1,142.48x = 1,673,289.42
5. Step 5: Solve for x
   x = 1,673,289.42/1,142.48
6. Step 6: Final answer
   x = 1,464.61