Finding the Fourth Proportional to 10,475.53, 14,456.07 and 5,695.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,475.53 : 14,456.07 = 5,695.53 : x
2. Step 2: Convert to fraction form
   10,475.53/14,456.07 = 5,695.53/x
3. Step 3: Cross multiply
   10,475.53x = 14,456.07 × 5,695.53
4. Step 4: Simplify right side
   10,475.53x = 82,334,980.37
5. Step 5: Solve for x
   x = 82,334,980.37/10,475.53
6. Step 6: Final answer
   x = 7,859.74