Finding the Fourth Proportional to 10,214.56, 14,083.82 and 7,377.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214.56 : 14,083.82 = 7,377.40 : x
2. Step 2: Convert to fraction form
   10,214.56/14,083.82 = 7,377.40/x
3. Step 3: Cross multiply
   10,214.56x = 14,083.82 × 7,377.40
4. Step 4: Simplify right side
   10,214.56x = 103,901,903.25
5. Step 5: Solve for x
   x = 103,901,903.25/10,214.56
6. Step 6: Final answer
   x = 10,171.95