Finding the Fourth Proportional to 3,764.47, 5,189.83 and 2,505.58

Step by Step Solution

1. Step 1: Write the proportion equation
   3,764.47 : 5,189.83 = 2,505.58 : x
2. Step 2: Convert to fraction form
   3,764.47/5,189.83 = 2,505.58/x
3. Step 3: Cross multiply
   3,764.47x = 5,189.83 × 2,505.58
4. Step 4: Simplify right side
   3,764.47x = 13,003,534.25
5. Step 5: Solve for x
   x = 13,003,534.25/3,764.47
6. Step 6: Final answer
   x = 3,454.28