Finding the Fourth Proportional to 1,527.94, 2,108.56 and 829.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,527.94 : 2,108.56 = 829.31 : x
2. Step 2: Convert to fraction form
   1,527.94/2,108.56 = 829.31/x
3. Step 3: Cross multiply
   1,527.94x = 2,108.56 × 829.31
4. Step 4: Simplify right side
   1,527.94x = 1,748,654.29
5. Step 5: Solve for x
   x = 1,748,654.29/1,527.94
6. Step 6: Final answer
   x = 1,144.45