Finding the Fourth Proportional to 10,214.08, 14,094.62 and 5,737.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214.08 : 14,094.62 = 5,737.69 : x
2. Step 2: Convert to fraction form
   10,214.08/14,094.62 = 5,737.69/x
3. Step 3: Cross multiply
   10,214.08x = 14,094.62 × 5,737.69
4. Step 4: Simplify right side
   10,214.08x = 80,870,523.67
5. Step 5: Solve for x
   x = 80,870,523.67/10,214.08
6. Step 6: Final answer
   x = 7,917.55