Finding the Fourth Proportional to 1,408.47, 2,109.20 and 852.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,408.47 : 2,109.20 = 852.89 : x
2. Step 2: Convert to fraction form
   1,408.47/2,109.20 = 852.89/x
3. Step 3: Cross multiply
   1,408.47x = 2,109.20 × 852.89
4. Step 4: Simplify right side
   1,408.47x = 1,798,900.78
5. Step 5: Solve for x
   x = 1,798,900.78/1,408.47
6. Step 6: Final answer
   x = 1,277.20