Finding the Fourth Proportional to 1,525.89, 2,105.61 and 1,029.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.89 : 2,105.61 = 1,029.20 : x
2. Step 2: Convert to fraction form
   1,525.89/2,105.61 = 1,029.20/x
3. Step 3: Cross multiply
   1,525.89x = 2,105.61 × 1,029.20
4. Step 4: Simplify right side
   1,525.89x = 2,167,093.81
5. Step 5: Solve for x
   x = 2,167,093.81/1,525.89
6. Step 6: Final answer
   x = 1,420.22