Finding the Fourth Proportional to 1,528.84, 2,109.81 and 830.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,528.84 : 2,109.81 = 830.22 : x
2. Step 2: Convert to fraction form
   1,528.84/2,109.81 = 830.22/x
3. Step 3: Cross multiply
   1,528.84x = 2,109.81 × 830.22
4. Step 4: Simplify right side
   1,528.84x = 1,751,606.46
5. Step 5: Solve for x
   x = 1,751,606.46/1,528.84
6. Step 6: Final answer
   x = 1,145.71