Finding the Fourth Proportional to 2,597.48, 3,892.53 and 1,905.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,597.48 : 3,892.53 = 1,905.74 : x
2. Step 2: Convert to fraction form
   2,597.48/3,892.53 = 1,905.74/x
3. Step 3: Cross multiply
   2,597.48x = 3,892.53 × 1,905.74
4. Step 4: Simplify right side
   2,597.48x = 7,418,150.12
5. Step 5: Solve for x
   x = 7,418,150.12/2,597.48
6. Step 6: Final answer
   x = 2,855.90