Finding the Fourth Proportional to 10,415.15, 15,624.20 and 3,840.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,415.15 : 15,624.20 = 3,840.82 : x
2. Step 2: Convert to fraction form
   10,415.15/15,624.20 = 3,840.82/x
3. Step 3: Cross multiply
   10,415.15x = 15,624.20 × 3,840.82
4. Step 4: Simplify right side
   10,415.15x = 60,009,739.84
5. Step 5: Solve for x
   x = 60,009,739.84/10,415.15
6. Step 6: Final answer
   x = 5,761.77