Finding the Fourth Proportional to 3,897.78, 5,846.34 and 976.08

Step by Step Solution

1. Step 1: Write the proportion equation
   3,897.78 : 5,846.34 = 976.08 : x
2. Step 2: Convert to fraction form
   3,897.78/5,846.34 = 976.08/x
3. Step 3: Cross multiply
   3,897.78x = 5,846.34 × 976.08
4. Step 4: Simplify right side
   3,897.78x = 5,706,495.55
5. Step 5: Solve for x
   x = 5,706,495.55/3,897.78
6. Step 6: Final answer
   x = 1,464.04