Finding the Fourth Proportional to 10,758.01, 14,846.01 and 5,978.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,758.01 : 14,846.01 = 5,978.74 : x
2. Step 2: Convert to fraction form
   10,758.01/14,846.01 = 5,978.74/x
3. Step 3: Cross multiply
   10,758.01x = 14,846.01 × 5,978.74
4. Step 4: Simplify right side
   10,758.01x = 88,760,433.83
5. Step 5: Solve for x
   x = 88,760,433.83/10,758.01
6. Step 6: Final answer
   x = 8,250.64