Finding the Fourth Proportional to 2,321.77, 3,206.10 and 1,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,321.77 : 3,206.10 = 1,578.50 : x
2. Step 2: Convert to fraction form
   2,321.77/3,206.10 = 1,578.50/x
3. Step 3: Cross multiply
   2,321.77x = 3,206.10 × 1,578.50
4. Step 4: Simplify right side
   2,321.77x = 5,060,818.74
5. Step 5: Solve for x
   x = 5,060,818.74/2,321.77
6. Step 6: Final answer
   x = 2,179.72