Finding the Fourth Proportional to 2,578.17, 3,869.70 and 1,876.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.17 : 3,869.70 = 1,876.14 : x
2. Step 2: Convert to fraction form
   2,578.17/3,869.70 = 1,876.14/x
3. Step 3: Cross multiply
   2,578.17x = 3,869.70 × 1,876.14
4. Step 4: Simplify right side
   2,578.17x = 7,260,098.96
5. Step 5: Solve for x
   x = 7,260,098.96/2,578.17
6. Step 6: Final answer
   x = 2,815.99