Finding the Fourth Proportional to 10,128.41, 13,977.46 and 5,653.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,128.41 : 13,977.46 = 5,653.02 : x
2. Step 2: Convert to fraction form
   10,128.41/13,977.46 = 5,653.02/x
3. Step 3: Cross multiply
   10,128.41x = 13,977.46 × 5,653.02
4. Step 4: Simplify right side
   10,128.41x = 79,014,920.41
5. Step 5: Solve for x
   x = 79,014,920.41/10,128.41
6. Step 6: Final answer
   x = 7,801.32