Finding the Fourth Proportional to 10,491.42, 14,478.57 and 5,776.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,491.42 : 14,478.57 = 5,776.14 : x
2. Step 2: Convert to fraction form
   10,491.42/14,478.57 = 5,776.14/x
3. Step 3: Cross multiply
   10,491.42x = 14,478.57 × 5,776.14
4. Step 4: Simplify right side
   10,491.42x = 83,630,247.32
5. Step 5: Solve for x
   x = 83,630,247.32/10,491.42
6. Step 6: Final answer
   x = 7,971.30