Finding the Fourth Proportional to 1,429.31, 1,972.14 and 839.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,429.31 : 1,972.14 = 839.69 : x
2. Step 2: Convert to fraction form
   1,429.31/1,972.14 = 839.69/x
3. Step 3: Cross multiply
   1,429.31x = 1,972.14 × 839.69
4. Step 4: Simplify right side
   1,429.31x = 1,655,986.24
5. Step 5: Solve for x
   x = 1,655,986.24/1,429.31
6. Step 6: Final answer
   x = 1,158.59