Finding the Fourth Proportional to 1,528.61, 2,109.47 and 829.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,528.61 : 2,109.47 = 829.98 : x
2. Step 2: Convert to fraction form
   1,528.61/2,109.47 = 829.98/x
3. Step 3: Cross multiply
   1,528.61x = 2,109.47 × 829.98
4. Step 4: Simplify right side
   1,528.61x = 1,750,813.76
5. Step 5: Solve for x
   x = 1,750,813.76/1,528.61
6. Step 6: Final answer
   x = 1,145.37