Finding the Fourth Proportional to 10,214.06, 14,094.86 and 5,738.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214.06 : 14,094.86 = 5,738.00 : x
2. Step 2: Convert to fraction form
   10,214.06/14,094.86 = 5,738.00/x
3. Step 3: Cross multiply
   10,214.06x = 14,094.86 × 5,738.00
4. Step 4: Simplify right side
   10,214.06x = 80,876,207.52
5. Step 5: Solve for x
   x = 80,876,207.52/10,214.06
6. Step 6: Final answer
   x = 7,918.13