Finding the Fourth Proportional to 10,129.89, 13,978.66 and 5,653.29

Step by Step Solution

1. Step 1: Write the proportion equation
   10,129.89 : 13,978.66 = 5,653.29 : x
2. Step 2: Convert to fraction form
   10,129.89/13,978.66 = 5,653.29/x
3. Step 3: Cross multiply
   10,129.89x = 13,978.66 × 5,653.29
4. Step 4: Simplify right side
   10,129.89x = 79,025,418.79
5. Step 5: Solve for x
   x = 79,025,418.79/10,129.89
6. Step 6: Final answer
   x = 7,801.21