Finding the Fourth Proportional to 10,491.78, 14,478.72 and 5,776.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,491.78 : 14,478.72 = 5,776.07 : x
2. Step 2: Convert to fraction form
   10,491.78/14,478.72 = 5,776.07/x
3. Step 3: Cross multiply
   10,491.78x = 14,478.72 × 5,776.07
4. Step 4: Simplify right side
   10,491.78x = 83,630,006.18
5. Step 5: Solve for x
   x = 83,630,006.18/10,491.78
6. Step 6: Final answer
   x = 7,971.00