Finding the Fourth Proportional to 10,758.48, 14,846.19 and 5,978.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,758.48 : 14,846.19 = 5,978.76 : x
2. Step 2: Convert to fraction form
   10,758.48/14,846.19 = 5,978.76/x
3. Step 3: Cross multiply
   10,758.48x = 14,846.19 × 5,978.76
4. Step 4: Simplify right side
   10,758.48x = 88,761,806.92
5. Step 5: Solve for x
   x = 88,761,806.92/10,758.48
6. Step 6: Final answer
   x = 8,250.40