Finding the Fourth Proportional to 1,427.39, 1,970.24 and 830.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427.39 : 1,970.24 = 830.06 : x
2. Step 2: Convert to fraction form
   1,427.39/1,970.24 = 830.06/x
3. Step 3: Cross multiply
   1,427.39x = 1,970.24 × 830.06
4. Step 4: Simplify right side
   1,427.39x = 1,635,420.97
5. Step 5: Solve for x
   x = 1,635,420.97/1,427.39
6. Step 6: Final answer
   x = 1,145.74