Finding the Fourth Proportional to 2,596.21, 3,875.82 and 2,505.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596.21 : 3,875.82 = 2,505.08 : x
2. Step 2: Convert to fraction form
   2,596.21/3,875.82 = 2,505.08/x
3. Step 3: Cross multiply
   2,596.21x = 3,875.82 × 2,505.08
4. Step 4: Simplify right side
   2,596.21x = 9,709,239.17
5. Step 5: Solve for x
   x = 9,709,239.17/2,596.21
6. Step 6: Final answer
   x = 3,739.77