Finding the Fourth Proportional to 10,129.09, 13,978.85 and 5,653.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,129.09 : 13,978.85 = 5,653.72 : x
2. Step 2: Convert to fraction form
   10,129.09/13,978.85 = 5,653.72/x
3. Step 3: Cross multiply
   10,129.09x = 13,978.85 × 5,653.72
4. Step 4: Simplify right side
   10,129.09x = 79,032,414.40
5. Step 5: Solve for x
   x = 79,032,414.40/10,129.09
6. Step 6: Final answer
   x = 7,802.52