Finding the Fourth Proportional to 10,485.96, 14,471.33 and 5,770.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,485.96 : 14,471.33 = 5,770.55 : x
2. Step 2: Convert to fraction form
   10,485.96/14,471.33 = 5,770.55/x
3. Step 3: Cross multiply
   10,485.96x = 14,471.33 × 5,770.55
4. Step 4: Simplify right side
   10,485.96x = 83,507,432.12
5. Step 5: Solve for x
   x = 83,507,432.12/10,485.96
6. Step 6: Final answer
   x = 7,963.74