Finding the Fourth Proportional to 1,527.68, 2,108.18 and 829.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,527.68 : 2,108.18 = 829.05 : x
2. Step 2: Convert to fraction form
   1,527.68/2,108.18 = 829.05/x
3. Step 3: Cross multiply
   1,527.68x = 2,108.18 × 829.05
4. Step 4: Simplify right side
   1,527.68x = 1,747,782.48
5. Step 5: Solve for x
   x = 1,747,782.48/1,527.68
6. Step 6: Final answer
   x = 1,144.08