Finding the Fourth Proportional to 1,419.18, 1,957.59 and 829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.18 : 1,957.59 = 829.50 : x
2. Step 2: Convert to fraction form
   1,419.18/1,957.59 = 829.50/x
3. Step 3: Cross multiply
   1,419.18x = 1,957.59 × 829.50
4. Step 4: Simplify right side
   1,419.18x = 1,623,820.91
5. Step 5: Solve for x
   x = 1,623,820.91/1,419.18
6. Step 6: Final answer
   x = 1,144.20