Finding the Fourth Proportional to 1,431.57, 1,975.47 and 842.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,431.57 : 1,975.47 = 842.07 : x
2. Step 2: Convert to fraction form
   1,431.57/1,975.47 = 842.07/x
3. Step 3: Cross multiply
   1,431.57x = 1,975.47 × 842.07
4. Step 4: Simplify right side
   1,431.57x = 1,663,484.02
5. Step 5: Solve for x
   x = 1,663,484.02/1,431.57
6. Step 6: Final answer
   x = 1,162.00