Finding the Fourth Proportional to 1,979.50, 2,967.31 and 1,102.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,979.50 : 2,967.31 = 1,102.42 : x
2. Step 2: Convert to fraction form
   1,979.50/2,967.31 = 1,102.42/x
3. Step 3: Cross multiply
   1,979.50x = 2,967.31 × 1,102.42
4. Step 4: Simplify right side
   1,979.50x = 3,271,221.89
5. Step 5: Solve for x
   x = 3,271,221.89/1,979.50
6. Step 6: Final answer
   x = 1,652.55