Finding the Fourth Proportional to 10,486.64, 14,471.04 and 5,770.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,486.64 : 14,471.04 = 5,770.16 : x
2. Step 2: Convert to fraction form
   10,486.64/14,471.04 = 5,770.16/x
3. Step 3: Cross multiply
   10,486.64x = 14,471.04 × 5,770.16
4. Step 4: Simplify right side
   10,486.64x = 83,500,216.17
5. Step 5: Solve for x
   x = 83,500,216.17/10,486.64
6. Step 6: Final answer
   x = 7,962.53