Finding the Fourth Proportional to 10,505.12, 14,496.56 and 5,789.36

Step by Step Solution

1. Step 1: Write the proportion equation
   10,505.12 : 14,496.56 = 5,789.36 : x
2. Step 2: Convert to fraction form
   10,505.12/14,496.56 = 5,789.36/x
3. Step 3: Cross multiply
   10,505.12x = 14,496.56 × 5,789.36
4. Step 4: Simplify right side
   10,505.12x = 83,925,804.60
5. Step 5: Solve for x
   x = 83,925,804.60/10,505.12
6. Step 6: Final answer
   x = 7,989.04