Finding the Fourth Proportional to 2,627.76, 3,942.16 and 897.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,627.76 : 3,942.16 = 897.60 : x
2. Step 2: Convert to fraction form
   2,627.76/3,942.16 = 897.60/x
3. Step 3: Cross multiply
   2,627.76x = 3,942.16 × 897.60
4. Step 4: Simplify right side
   2,627.76x = 3,538,482.82
5. Step 5: Solve for x
   x = 3,538,482.82/2,627.76
6. Step 6: Final answer
   x = 1,346.58