Finding the Fourth Proportional to 10,547.91, 14,555.64 and 5,767.73

Step by Step Solution

1. Step 1: Write the proportion equation
   10,547.91 : 14,555.64 = 5,767.73 : x
2. Step 2: Convert to fraction form
   10,547.91/14,555.64 = 5,767.73/x
3. Step 3: Cross multiply
   10,547.91x = 14,555.64 × 5,767.73
4. Step 4: Simplify right side
   10,547.91x = 83,952,928.72
5. Step 5: Solve for x
   x = 83,952,928.72/10,547.91
6. Step 6: Final answer
   x = 7,959.20