Finding the Fourth Proportional to 2,557.34, 3,836.00 and 913.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.34 : 3,836.00 = 913.77 : x
2. Step 2: Convert to fraction form
   2,557.34/3,836.00 = 913.77/x
3. Step 3: Cross multiply
   2,557.34x = 3,836.00 × 913.77
4. Step 4: Simplify right side
   2,557.34x = 3,505,217.15
5. Step 5: Solve for x
   x = 3,505,217.15/2,557.34
6. Step 6: Final answer
   x = 1,370.65