Finding the Fourth Proportional to 1,529.31, 2,110.42 and 830.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,529.31 : 2,110.42 = 830.69 : x
2. Step 2: Convert to fraction form
   1,529.31/2,110.42 = 830.69/x
3. Step 3: Cross multiply
   1,529.31x = 2,110.42 × 830.69
4. Step 4: Simplify right side
   1,529.31x = 1,753,103.19
5. Step 5: Solve for x
   x = 1,753,103.19/1,529.31
6. Step 6: Final answer
   x = 1,146.33