Finding the Fourth Proportional to 10,486.59, 14,471.50 and 5,770.87

Step by Step Solution

1. Step 1: Write the proportion equation
   10,486.59 : 14,471.50 = 5,770.87 : x
2. Step 2: Convert to fraction form
   10,486.59/14,471.50 = 5,770.87/x
3. Step 3: Cross multiply
   10,486.59x = 14,471.50 × 5,770.87
4. Step 4: Simplify right side
   10,486.59x = 83,513,170.56
5. Step 5: Solve for x
   x = 83,513,170.56/10,486.59
6. Step 6: Final answer
   x = 7,963.81