Finding the Fourth Proportional to 10,502.89, 14,493.86 and 6,026.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502.89 : 14,493.86 = 6,026.74 : x
2. Step 2: Convert to fraction form
   10,502.89/14,493.86 = 6,026.74/x
3. Step 3: Cross multiply
   10,502.89x = 14,493.86 × 6,026.74
4. Step 4: Simplify right side
   10,502.89x = 87,350,725.82
5. Step 5: Solve for x
   x = 87,350,725.82/10,502.89
6. Step 6: Final answer
   x = 8,316.83