Finding the Fourth Proportional to 1,528.00, 2,108.63 and 829.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,528.00 : 2,108.63 = 829.37 : x
2. Step 2: Convert to fraction form
   1,528.00/2,108.63 = 829.37/x
3. Step 3: Cross multiply
   1,528.00x = 2,108.63 × 829.37
4. Step 4: Simplify right side
   1,528.00x = 1,748,834.46
5. Step 5: Solve for x
   x = 1,748,834.46/1,528.00
6. Step 6: Final answer
   x = 1,144.53