Finding the Fourth Proportional to 1,928.88, 2,896.56 and 1,164.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,928.88 : 2,896.56 = 1,164.24 : x
2. Step 2: Convert to fraction form
   1,928.88/2,896.56 = 1,164.24/x
3. Step 3: Cross multiply
   1,928.88x = 2,896.56 × 1,164.24
4. Step 4: Simplify right side
   1,928.88x = 3,372,291.01
5. Step 5: Solve for x
   x = 3,372,291.01/1,928.88
6. Step 6: Final answer
   x = 1,748.32