Finding the Fourth Proportional to 12,884.14, 19,328.64 and 5,093.02

Step by Step Solution

1. Step 1: Write the proportion equation
   12,884.14 : 19,328.64 = 5,093.02 : x
2. Step 2: Convert to fraction form
   12,884.14/19,328.64 = 5,093.02/x
3. Step 3: Cross multiply
   12,884.14x = 19,328.64 × 5,093.02
4. Step 4: Simplify right side
   12,884.14x = 98,441,150.09
5. Step 5: Solve for x
   x = 98,441,150.09/12,884.14
6. Step 6: Final answer
   x = 7,640.49