Finding the Fourth Proportional to 2,599.89, 3,875.76 and 2,559.93

Step by Step Solution

1. Step 1: Write the proportion equation
   2,599.89 : 3,875.76 = 2,559.93 : x
2. Step 2: Convert to fraction form
   2,599.89/3,875.76 = 2,559.93/x
3. Step 3: Cross multiply
   2,599.89x = 3,875.76 × 2,559.93
4. Step 4: Simplify right side
   2,599.89x = 9,921,674.30
5. Step 5: Solve for x
   x = 9,921,674.30/2,599.89
6. Step 6: Final answer
   x = 3,816.19