Finding the Fourth Proportional to 10,486.32, 14,471.43 and 5,770.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,486.32 : 14,471.43 = 5,770.89 : x
2. Step 2: Convert to fraction form
   10,486.32/14,471.43 = 5,770.89/x
3. Step 3: Cross multiply
   10,486.32x = 14,471.43 × 5,770.89
4. Step 4: Simplify right side
   10,486.32x = 83,513,030.67
5. Step 5: Solve for x
   x = 83,513,030.67/10,486.32
6. Step 6: Final answer
   x = 7,964.00