Finding the Fourth Proportional to 10,742.58, 14,824.89 and 6,026.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,742.58 : 14,824.89 = 6,026.94 : x
2. Step 2: Convert to fraction form
   10,742.58/14,824.89 = 6,026.94/x
3. Step 3: Cross multiply
   10,742.58x = 14,824.89 × 6,026.94
4. Step 4: Simplify right side
   10,742.58x = 89,348,722.54
5. Step 5: Solve for x
   x = 89,348,722.54/10,742.58
6. Step 6: Final answer
   x = 8,317.25