Finding the Fourth Proportional to 10,415.40, 14,373 and 5,699.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,415.40 : 14,373 = 5,699.76 : x
2. Step 2: Convert to fraction form
   10,415.40/14,373 = 5,699.76/x
3. Step 3: Cross multiply
   10,415.40x = 14,373 × 5,699.76
4. Step 4: Simplify right side
   10,415.40x = 81,922,650.48
5. Step 5: Solve for x
   x = 81,922,650.48/10,415.40
6. Step 6: Final answer
   x = 7,865.53