Finding the Fourth Proportional to 10,128.71, 13,978.33 and 5,653.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,128.71 : 13,978.33 = 5,653.34 : x
2. Step 2: Convert to fraction form
   10,128.71/13,978.33 = 5,653.34/x
3. Step 3: Cross multiply
   10,128.71x = 13,978.33 × 5,653.34
4. Step 4: Simplify right side
   10,128.71x = 79,024,220.52
5. Step 5: Solve for x
   x = 79,024,220.52/10,128.71
6. Step 6: Final answer
   x = 7,802.00