Finding the Fourth Proportional to 1,381.42, 1,905.42 and 856.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,381.42 : 1,905.42 = 856.54 : x
2. Step 2: Convert to fraction form
   1,381.42/1,905.42 = 856.54/x
3. Step 3: Cross multiply
   1,381.42x = 1,905.42 × 856.54
4. Step 4: Simplify right side
   1,381.42x = 1,632,068.45
5. Step 5: Solve for x
   x = 1,632,068.45/1,381.42
6. Step 6: Final answer
   x = 1,181.44