Finding the Fourth Proportional to 2,538.64, 3,807.99 and 895.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.64 : 3,807.99 = 895.23 : x
2. Step 2: Convert to fraction form
   2,538.64/3,807.99 = 895.23/x
3. Step 3: Cross multiply
   2,538.64x = 3,807.99 × 895.23
4. Step 4: Simplify right side
   2,538.64x = 3,409,026.89
5. Step 5: Solve for x
   x = 3,409,026.89/2,538.64
6. Step 6: Final answer
   x = 1,342.86