Finding the Fourth Proportional to 1,429.82, 1,973.13 and 832.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.82 : 1,973.13 = 832.43 : x
2. Step 2: Convert to fraction form
   1,429.82/1,973.13 = 832.43/x
3. Step 3: Cross multiply
   1,429.82x = 1,973.13 × 832.43
4. Step 4: Simplify right side
   1,429.82x = 1,642,494.42
5. Step 5: Solve for x
   x = 1,642,494.42/1,429.82
6. Step 6: Final answer
   x = 1,148.74