Finding the Fourth Proportional to 2,534.71, 3,803.89 and 892.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,534.71 : 3,803.89 = 892.64 : x
2. Step 2: Convert to fraction form
   2,534.71/3,803.89 = 892.64/x
3. Step 3: Cross multiply
   2,534.71x = 3,803.89 × 892.64
4. Step 4: Simplify right side
   2,534.71x = 3,395,480.89
5. Step 5: Solve for x
   x = 3,395,480.89/2,534.71
6. Step 6: Final answer
   x = 1,339.59