Finding the Fourth Proportional to 10,130.27, 13,978.37 and 5,653.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,130.27 : 13,978.37 = 5,653.60 : x
2. Step 2: Convert to fraction form
   10,130.27/13,978.37 = 5,653.60/x
3. Step 3: Cross multiply
   10,130.27x = 13,978.37 × 5,653.60
4. Step 4: Simplify right side
   10,130.27x = 79,028,091.82
5. Step 5: Solve for x
   x = 79,028,091.82/10,130.27
6. Step 6: Final answer
   x = 7,801.19