Finding the Fourth Proportional to 10,489.64, 14,475.30 and 5,773.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,489.64 : 14,475.30 = 5,773.82 : x
2. Step 2: Convert to fraction form
   10,489.64/14,475.30 = 5,773.82/x
3. Step 3: Cross multiply
   10,489.64x = 14,475.30 × 5,773.82
4. Step 4: Simplify right side
   10,489.64x = 83,577,776.65
5. Step 5: Solve for x
   x = 83,577,776.65/10,489.64
6. Step 6: Final answer
   x = 7,967.65