Finding the Fourth Proportional to 2,536.40, 3,804.50 and 976.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,536.40 : 3,804.50 = 976.12 : x
2. Step 2: Convert to fraction form
   2,536.40/3,804.50 = 976.12/x
3. Step 3: Cross multiply
   2,536.40x = 3,804.50 × 976.12
4. Step 4: Simplify right side
   2,536.40x = 3,713,641.47
5. Step 5: Solve for x
   x = 3,713,641.47/2,536.40
6. Step 6: Final answer
   x = 1,464.14