Finding the Fourth Proportional to 3,896.76, 5,845.38 and 975.10

Step by Step Solution

1. Step 1: Write the proportion equation
   3,896.76 : 5,845.38 = 975.10 : x
2. Step 2: Convert to fraction form
   3,896.76/5,845.38 = 975.10/x
3. Step 3: Cross multiply
   3,896.76x = 5,845.38 × 975.10
4. Step 4: Simplify right side
   3,896.76x = 5,699,830.04
5. Step 5: Solve for x
   x = 5,699,830.04/3,896.76
6. Step 6: Final answer
   x = 1,462.71