Finding the Fourth Proportional to 10,128.90, 13,978.58 and 5,653.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,128.90 : 13,978.58 = 5,653.52 : x
2. Step 2: Convert to fraction form
   10,128.90/13,978.58 = 5,653.52/x
3. Step 3: Cross multiply
   10,128.90x = 13,978.58 × 5,653.52
4. Step 4: Simplify right side
   10,128.90x = 79,028,153.33
5. Step 5: Solve for x
   x = 79,028,153.33/10,128.90
6. Step 6: Final answer
   x = 7,802.25