Finding the Fourth Proportional to 1,530.82, 2,112.52 and 832.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,530.82 : 2,112.52 = 832.20 : x
2. Step 2: Convert to fraction form
   1,530.82/2,112.52 = 832.20/x
3. Step 3: Cross multiply
   1,530.82x = 2,112.52 × 832.20
4. Step 4: Simplify right side
   1,530.82x = 1,758,039.14
5. Step 5: Solve for x
   x = 1,758,039.14/1,530.82
6. Step 6: Final answer
   x = 1,148.43