Finding the Fourth Proportional to 10,129.44, 13,978.64 and 5,653.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,129.44 : 13,978.64 = 5,653.59 : x
2. Step 2: Convert to fraction form
   10,129.44/13,978.64 = 5,653.59/x
3. Step 3: Cross multiply
   10,129.44x = 13,978.64 × 5,653.59
4. Step 4: Simplify right side
   10,129.44x = 79,029,499.32
5. Step 5: Solve for x
   x = 79,029,499.32/10,129.44
6. Step 6: Final answer
   x = 7,801.96