Finding the Fourth Proportional to 10,510.06, 14,509.83 and 6,978.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,510.06 : 14,509.83 = 6,978.10 : x
2. Step 2: Convert to fraction form
   10,510.06/14,509.83 = 6,978.10/x
3. Step 3: Cross multiply
   10,510.06x = 14,509.83 × 6,978.10
4. Step 4: Simplify right side
   10,510.06x = 101,251,044.72
5. Step 5: Solve for x
   x = 101,251,044.72/10,510.06
6. Step 6: Final answer
   x = 9,633.73