Finding the Fourth Proportional to 3,897.72, 5,846.12 and 975.80

Step by Step Solution

1. Step 1: Write the proportion equation
   3,897.72 : 5,846.12 = 975.80 : x
2. Step 2: Convert to fraction form
   3,897.72/5,846.12 = 975.80/x
3. Step 3: Cross multiply
   3,897.72x = 5,846.12 × 975.80
4. Step 4: Simplify right side
   3,897.72x = 5,704,629.90
5. Step 5: Solve for x
   x = 5,704,629.90/3,897.72
6. Step 6: Final answer
   x = 1,463.58