Finding the Fourth Proportional to 3,902.34, 5,385.25 and 2,505.09

Step by Step Solution

1. Step 1: Write the proportion equation
   3,902.34 : 5,385.25 = 2,505.09 : x
2. Step 2: Convert to fraction form
   3,902.34/5,385.25 = 2,505.09/x
3. Step 3: Cross multiply
   3,902.34x = 5,385.25 × 2,505.09
4. Step 4: Simplify right side
   3,902.34x = 13,490,559.25
5. Step 5: Solve for x
   x = 13,490,559.25/3,902.34
6. Step 6: Final answer
   x = 3,457.04