Finding the Fourth Proportional to 10,486.31, 14,471.12 and 5,770.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,486.31 : 14,471.12 = 5,770.49 : x
2. Step 2: Convert to fraction form
   10,486.31/14,471.12 = 5,770.49/x
3. Step 3: Cross multiply
   10,486.31x = 14,471.12 × 5,770.49
4. Step 4: Simplify right side
   10,486.31x = 83,505,460.57
5. Step 5: Solve for x
   x = 83,505,460.57/10,486.31
6. Step 6: Final answer
   x = 7,963.28