Finding the Fourth Proportional to 2,601.89, 3,878.74 and 2,561.93

Step by Step Solution

1. Step 1: Write the proportion equation
   2,601.89 : 3,878.74 = 2,561.93 : x
2. Step 2: Convert to fraction form
   2,601.89/3,878.74 = 2,561.93/x
3. Step 3: Cross multiply
   2,601.89x = 3,878.74 × 2,561.93
4. Step 4: Simplify right side
   2,601.89x = 9,937,060.37
5. Step 5: Solve for x
   x = 9,937,060.37/2,601.89
6. Step 6: Final answer
   x = 3,819.17