Finding the Fourth Proportional to 1,456.56, 2,181.96 and 942

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.56 : 2,181.96 = 942 : x
2. Step 2: Convert to fraction form
   1,456.56/2,181.96 = 942/x
3. Step 3: Cross multiply
   1,456.56x = 2,181.96 × 942
4. Step 4: Simplify right side
   1,456.56x = 2,055,406.32
5. Step 5: Solve for x
   x = 2,055,406.32/1,456.56
6. Step 6: Final answer
   x = 1,411.14