Finding the Fourth Proportional to 1,528.65, 2,109.52 and 830.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,528.65 : 2,109.52 = 830.02 : x
2. Step 2: Convert to fraction form
   1,528.65/2,109.52 = 830.02/x
3. Step 3: Cross multiply
   1,528.65x = 2,109.52 × 830.02
4. Step 4: Simplify right side
   1,528.65x = 1,750,944.91
5. Step 5: Solve for x
   x = 1,750,944.91/1,528.65
6. Step 6: Final answer
   x = 1,145.42