Finding the Fourth Proportional to 1,431.56, 1,975.48 and 842.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,431.56 : 1,975.48 = 842.06 : x
2. Step 2: Convert to fraction form
   1,431.56/1,975.48 = 842.06/x
3. Step 3: Cross multiply
   1,431.56x = 1,975.48 × 842.06
4. Step 4: Simplify right side
   1,431.56x = 1,663,475.52
5. Step 5: Solve for x
   x = 1,663,475.52/1,431.56
6. Step 6: Final answer
   x = 1,162.00