Finding the Fourth Proportional to 1,528.34, 2,109.11 and 829.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,528.34 : 2,109.11 = 829.72 : x
2. Step 2: Convert to fraction form
   1,528.34/2,109.11 = 829.72/x
3. Step 3: Cross multiply
   1,528.34x = 2,109.11 × 829.72
4. Step 4: Simplify right side
   1,528.34x = 1,749,970.75
5. Step 5: Solve for x
   x = 1,749,970.75/1,528.34
6. Step 6: Final answer
   x = 1,145.01