Finding the Fourth Proportional to 2,386.50, 3,578.76 and 924.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,386.50 : 3,578.76 = 924.81 : x
2. Step 2: Convert to fraction form
   2,386.50/3,578.76 = 924.81/x
3. Step 3: Cross multiply
   2,386.50x = 3,578.76 × 924.81
4. Step 4: Simplify right side
   2,386.50x = 3,309,673.04
5. Step 5: Solve for x
   x = 3,309,673.04/2,386.50
6. Step 6: Final answer
   x = 1,386.83