Finding the Fourth Proportional to 1,983.82, 2,971.86 and 942.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,983.82 : 2,971.86 = 942.34 : x
2. Step 2: Convert to fraction form
   1,983.82/2,971.86 = 942.34/x
3. Step 3: Cross multiply
   1,983.82x = 2,971.86 × 942.34
4. Step 4: Simplify right side
   1,983.82x = 2,800,502.55
5. Step 5: Solve for x
   x = 2,800,502.55/1,983.82
6. Step 6: Final answer
   x = 1,411.67