Finding the Fourth Proportional to 10,486.41, 14,470.89 and 5,770.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,486.41 : 14,470.89 = 5,770.68 : x
2. Step 2: Convert to fraction form
   10,486.41/14,470.89 = 5,770.68/x
3. Step 3: Cross multiply
   10,486.41x = 14,470.89 × 5,770.68
4. Step 4: Simplify right side
   10,486.41x = 83,506,875.51
5. Step 5: Solve for x
   x = 83,506,875.51/10,486.41
6. Step 6: Final answer
   x = 7,963.34