Finding the Fourth Proportional to 2,536.86, 3,802.71 and 976.44

Step by Step Solution

1. Step 1: Write the proportion equation
   2,536.86 : 3,802.71 = 976.44 : x
2. Step 2: Convert to fraction form
   2,536.86/3,802.71 = 976.44/x
3. Step 3: Cross multiply
   2,536.86x = 3,802.71 × 976.44
4. Step 4: Simplify right side
   2,536.86x = 3,713,118.15
5. Step 5: Solve for x
   x = 3,713,118.15/2,536.86
6. Step 6: Final answer
   x = 1,463.67