Finding the Fourth Proportional to 1,429.74, 1,973.38 and 832.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.74 : 1,973.38 = 832.10 : x
2. Step 2: Convert to fraction form
   1,429.74/1,973.38 = 832.10/x
3. Step 3: Cross multiply
   1,429.74x = 1,973.38 × 832.10
4. Step 4: Simplify right side
   1,429.74x = 1,642,049.50
5. Step 5: Solve for x
   x = 1,642,049.50/1,429.74
6. Step 6: Final answer
   x = 1,148.50