Finding the Fourth Proportional to 10,415.90, 14,373.87 and 5,635.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,415.90 : 14,373.87 = 5,635.82 : x
2. Step 2: Convert to fraction form
   10,415.90/14,373.87 = 5,635.82/x
3. Step 3: Cross multiply
   10,415.90x = 14,373.87 × 5,635.82
4. Step 4: Simplify right side
   10,415.90x = 81,008,544.02
5. Step 5: Solve for x
   x = 81,008,544.02/10,415.90
6. Step 6: Final answer
   x = 7,777.39