Finding the Fourth Proportional to 10,475.90, 14,456.50 and 5,695.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,475.90 : 14,456.50 = 5,695.77 : x
2. Step 2: Convert to fraction form
   10,475.90/14,456.50 = 5,695.77/x
3. Step 3: Cross multiply
   10,475.90x = 14,456.50 × 5,695.77
4. Step 4: Simplify right side
   10,475.90x = 82,340,899.01
5. Step 5: Solve for x
   x = 82,340,899.01/10,475.90
6. Step 6: Final answer
   x = 7,860.03