Finding the Fourth Proportional to 2,094.50, 3,142.56 and 779.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,094.50 : 3,142.56 = 779.06 : x
2. Step 2: Convert to fraction form
   2,094.50/3,142.56 = 779.06/x
3. Step 3: Cross multiply
   2,094.50x = 3,142.56 × 779.06
4. Step 4: Simplify right side
   2,094.50x = 2,448,242.79
5. Step 5: Solve for x
   x = 2,448,242.79/2,094.50
6. Step 6: Final answer
   x = 1,168.89