Finding the Fourth Proportional to 10,275.59, 14,180.34 and 5,738.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,275.59 : 14,180.34 = 5,738.25 : x
2. Step 2: Convert to fraction form
   10,275.59/14,180.34 = 5,738.25/x
3. Step 3: Cross multiply
   10,275.59x = 14,180.34 × 5,738.25
4. Step 4: Simplify right side
   10,275.59x = 81,370,314.49
5. Step 5: Solve for x
   x = 81,370,314.49/10,275.59
6. Step 6: Final answer
   x = 7,918.80