Finding the Fourth Proportional to 2,119.82, 3,178.12 and 948.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,119.82 : 3,178.12 = 948.40 : x
2. Step 2: Convert to fraction form
   2,119.82/3,178.12 = 948.40/x
3. Step 3: Cross multiply
   2,119.82x = 3,178.12 × 948.40
4. Step 4: Simplify right side
   2,119.82x = 3,014,129.01
5. Step 5: Solve for x
   x = 3,014,129.01/2,119.82
6. Step 6: Final answer
   x = 1,421.88