Finding the Fourth Proportional to 10,486, 14,470.78 and 5,770.39

Step by Step Solution

1. Step 1: Write the proportion equation
   10,486 : 14,470.78 = 5,770.39 : x
2. Step 2: Convert to fraction form
   10,486/14,470.78 = 5,770.39/x
3. Step 3: Cross multiply
   10,486x = 14,470.78 × 5,770.39
4. Step 4: Simplify right side
   10,486x = 83,501,971.85
5. Step 5: Solve for x
   x = 83,501,971.85/10,486
6. Step 6: Final answer
   x = 7,963.19