Finding the Fourth Proportional to 10,475.81, 14,456.90 and 5,696.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,475.81 : 14,456.90 = 5,696.08 : x
2. Step 2: Convert to fraction form
   10,475.81/14,456.90 = 5,696.08/x
3. Step 3: Cross multiply
   10,475.81x = 14,456.90 × 5,696.08
4. Step 4: Simplify right side
   10,475.81x = 82,347,658.95
5. Step 5: Solve for x
   x = 82,347,658.95/10,475.81
6. Step 6: Final answer
   x = 7,860.74