Finding the Fourth Proportional to 10,486.31, 14,471.82 and 5,770.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,486.31 : 14,471.82 = 5,770.90 : x
2. Step 2: Convert to fraction form
   10,486.31/14,471.82 = 5,770.90/x
3. Step 3: Cross multiply
   10,486.31x = 14,471.82 × 5,770.90
4. Step 4: Simplify right side
   10,486.31x = 83,515,324.82
5. Step 5: Solve for x
   x = 83,515,324.82/10,486.31
6. Step 6: Final answer
   x = 7,964.22