Finding the Fourth Proportional to 2,505.83, 3,757.70 and 945.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.83 : 3,757.70 = 945.56 : x
2. Step 2: Convert to fraction form
   2,505.83/3,757.70 = 945.56/x
3. Step 3: Cross multiply
   2,505.83x = 3,757.70 × 945.56
4. Step 4: Simplify right side
   2,505.83x = 3,553,142.57
5. Step 5: Solve for x
   x = 3,553,142.57/2,505.83
6. Step 6: Final answer
   x = 1,417.95