Finding the Fourth Proportional to 1,528.05, 2,108.70 and 829.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,528.05 : 2,108.70 = 829.42 : x
2. Step 2: Convert to fraction form
   1,528.05/2,108.70 = 829.42/x
3. Step 3: Cross multiply
   1,528.05x = 2,108.70 × 829.42
4. Step 4: Simplify right side
   1,528.05x = 1,748,997.95
5. Step 5: Solve for x
   x = 1,748,997.95/1,528.05
6. Step 6: Final answer
   x = 1,144.59