Finding the Fourth Proportional to 10,630.06, 14,669.10 and 5,914.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,630.06 : 14,669.10 = 5,914.24 : x
2. Step 2: Convert to fraction form
   10,630.06/14,669.10 = 5,914.24/x
3. Step 3: Cross multiply
   10,630.06x = 14,669.10 × 5,914.24
4. Step 4: Simplify right side
   10,630.06x = 86,756,577.98
5. Step 5: Solve for x
   x = 86,756,577.98/10,630.06
6. Step 6: Final answer
   x = 8,161.44