Finding the Fourth Proportional to 1,528.86, 2,109.79 and 830.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,528.86 : 2,109.79 = 830.23 : x
2. Step 2: Convert to fraction form
   1,528.86/2,109.79 = 830.23/x
3. Step 3: Cross multiply
   1,528.86x = 2,109.79 × 830.23
4. Step 4: Simplify right side
   1,528.86x = 1,751,608.88
5. Step 5: Solve for x
   x = 1,751,608.88/1,528.86
6. Step 6: Final answer
   x = 1,145.70