Finding the Fourth Proportional to 1,528.34, 2,109.06 and 829.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,528.34 : 2,109.06 = 829.71 : x
2. Step 2: Convert to fraction form
   1,528.34/2,109.06 = 829.71/x
3. Step 3: Cross multiply
   1,528.34x = 2,109.06 × 829.71
4. Step 4: Simplify right side
   1,528.34x = 1,749,908.17
5. Step 5: Solve for x
   x = 1,749,908.17/1,528.34
6. Step 6: Final answer
   x = 1,144.98