Finding the Fourth Proportional to 2,538.06, 3,807.69 and 894.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.06 : 3,807.69 = 894.69 : x
2. Step 2: Convert to fraction form
   2,538.06/3,807.69 = 894.69/x
3. Step 3: Cross multiply
   2,538.06x = 3,807.69 × 894.69
4. Step 4: Simplify right side
   2,538.06x = 3,406,702.17
5. Step 5: Solve for x
   x = 3,406,702.17/2,538.06
6. Step 6: Final answer
   x = 1,342.25