Finding the Fourth Proportional to 1,427.82, 1,968.99 and 1,147.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427.82 : 1,968.99 = 1,147.16 : x
2. Step 2: Convert to fraction form
   1,427.82/1,968.99 = 1,147.16/x
3. Step 3: Cross multiply
   1,427.82x = 1,968.99 × 1,147.16
4. Step 4: Simplify right side
   1,427.82x = 2,258,736.72
5. Step 5: Solve for x
   x = 2,258,736.72/1,427.82
6. Step 6: Final answer
   x = 1,581.95