Finding the Fourth Proportional to 10,626.13, 14,667.71 and 6,434.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,626.13 : 14,667.71 = 6,434.38 : x
2. Step 2: Convert to fraction form
   10,626.13/14,667.71 = 6,434.38/x
3. Step 3: Cross multiply
   10,626.13x = 14,667.71 × 6,434.38
4. Step 4: Simplify right side
   10,626.13x = 94,377,619.87
5. Step 5: Solve for x
   x = 94,377,619.87/10,626.13
6. Step 6: Final answer
   x = 8,881.65