Finding the Fourth Proportional to 2,385.69, 3,578.31 and 1,460.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,385.69 : 3,578.31 = 1,460.77 : x
2. Step 2: Convert to fraction form
   2,385.69/3,578.31 = 1,460.77/x
3. Step 3: Cross multiply
   2,385.69x = 3,578.31 × 1,460.77
4. Step 4: Simplify right side
   2,385.69x = 5,227,087.90
5. Step 5: Solve for x
   x = 5,227,087.90/2,385.69
6. Step 6: Final answer
   x = 2,191.02