Finding the Fourth Proportional to 3,895.76, 5,843.82 and 974.10

Step by Step Solution

1. Step 1: Write the proportion equation
   3,895.76 : 5,843.82 = 974.10 : x
2. Step 2: Convert to fraction form
   3,895.76/5,843.82 = 974.10/x
3. Step 3: Cross multiply
   3,895.76x = 5,843.82 × 974.10
4. Step 4: Simplify right side
   3,895.76x = 5,692,465.06
5. Step 5: Solve for x
   x = 5,692,465.06/3,895.76
6. Step 6: Final answer
   x = 1,461.20