Finding the Fourth Proportional to 10,649.67, 14,696.01 and 6,174.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,649.67 : 14,696.01 = 6,174.82 : x
2. Step 2: Convert to fraction form
   10,649.67/14,696.01 = 6,174.82/x
3. Step 3: Cross multiply
   10,649.67x = 14,696.01 × 6,174.82
4. Step 4: Simplify right side
   10,649.67x = 90,745,216.47
5. Step 5: Solve for x
   x = 90,745,216.47/10,649.67
6. Step 6: Final answer
   x = 8,520.94