Finding the Fourth Proportional to 10,275.25, 14,179.70 and 5,738.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,275.25 : 14,179.70 = 5,738.00 : x
2. Step 2: Convert to fraction form
   10,275.25/14,179.70 = 5,738.00/x
3. Step 3: Cross multiply
   10,275.25x = 14,179.70 × 5,738.00
4. Step 4: Simplify right side
   10,275.25x = 81,363,047.70
5. Step 5: Solve for x
   x = 81,363,047.70/10,275.25
6. Step 6: Final answer
   x = 7,918.36