Finding the Fourth Proportional to 2,386.69, 3,577.59 and 1,000.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,386.69 : 3,577.59 = 1,000.78 : x
2. Step 2: Convert to fraction form
   2,386.69/3,577.59 = 1,000.78/x
3. Step 3: Cross multiply
   2,386.69x = 3,577.59 × 1,000.78
4. Step 4: Simplify right side
   2,386.69x = 3,580,371.58
5. Step 5: Solve for x
   x = 3,580,371.58/2,386.69
6. Step 6: Final answer
   x = 1,500.14