Finding the Fourth Proportional to 1,427.36, 1,970.01 and 830.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427.36 : 1,970.01 = 830.04 : x
2. Step 2: Convert to fraction form
   1,427.36/1,970.01 = 830.04/x
3. Step 3: Cross multiply
   1,427.36x = 1,970.01 × 830.04
4. Step 4: Simplify right side
   1,427.36x = 1,635,181.59
5. Step 5: Solve for x
   x = 1,635,181.59/1,427.36
6. Step 6: Final answer
   x = 1,145.60