Finding the Fourth Proportional to 2,534.76, 3,801.76 and 685.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,534.76 : 3,801.76 = 685.98 : x
2. Step 2: Convert to fraction form
   2,534.76/3,801.76 = 685.98/x
3. Step 3: Cross multiply
   2,534.76x = 3,801.76 × 685.98
4. Step 4: Simplify right side
   2,534.76x = 2,607,931.32
5. Step 5: Solve for x
   x = 2,607,931.32/2,534.76
6. Step 6: Final answer
   x = 1,028.87