Finding the Fourth Proportional to 10,164.30, 14,026.94 and 6,131.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164.30 : 14,026.94 = 6,131.10 : x
2. Step 2: Convert to fraction form
   10,164.30/14,026.94 = 6,131.10/x
3. Step 3: Cross multiply
   10,164.30x = 14,026.94 × 6,131.10
4. Step 4: Simplify right side
   10,164.30x = 86,000,616.77
5. Step 5: Solve for x
   x = 86,000,616.77/10,164.30
6. Step 6: Final answer
   x = 8,461.05