Finding the Fourth Proportional to 10,477.46, 14,458.95 and 5,761.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,477.46 : 14,458.95 = 5,761.77 : x
2. Step 2: Convert to fraction form
   10,477.46/14,458.95 = 5,761.77/x
3. Step 3: Cross multiply
   10,477.46x = 14,458.95 × 5,761.77
4. Step 4: Simplify right side
   10,477.46x = 83,309,144.34
5. Step 5: Solve for x
   x = 83,309,144.34/10,477.46
6. Step 6: Final answer
   x = 7,951.28