Finding the Fourth Proportional to 10,741.80, 14,823.69 and 6,026.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,741.80 : 14,823.69 = 6,026.10 : x
2. Step 2: Convert to fraction form
   10,741.80/14,823.69 = 6,026.10/x
3. Step 3: Cross multiply
   10,741.80x = 14,823.69 × 6,026.10
4. Step 4: Simplify right side
   10,741.80x = 89,329,038.31
5. Step 5: Solve for x
   x = 89,329,038.31/10,741.80
6. Step 6: Final answer
   x = 8,316.02