Finding the Fourth Proportional to 3,895.77, 5,843.63 and 974.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,895.77 : 5,843.63 = 974.06 : x
2. Step 2: Convert to fraction form
   3,895.77/5,843.63 = 974.06/x
3. Step 3: Cross multiply
   3,895.77x = 5,843.63 × 974.06
4. Step 4: Simplify right side
   3,895.77x = 5,692,012.15
5. Step 5: Solve for x
   x = 5,692,012.15/3,895.77
6. Step 6: Final answer
   x = 1,461.07