Finding the Fourth Proportional to 2,153.58, 2,972.16 and 1,314.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,153.58 : 2,972.16 = 1,314.78 : x
2. Step 2: Convert to fraction form
   2,153.58/2,972.16 = 1,314.78/x
3. Step 3: Cross multiply
   2,153.58x = 2,972.16 × 1,314.78
4. Step 4: Simplify right side
   2,153.58x = 3,907,736.52
5. Step 5: Solve for x
   x = 3,907,736.52/2,153.58
6. Step 6: Final answer
   x = 1,814.53