Finding the Fourth Proportional to 10,415.16, 15,623.78 and 3,840.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,415.16 : 15,623.78 = 3,840.50 : x
2. Step 2: Convert to fraction form
   10,415.16/15,623.78 = 3,840.50/x
3. Step 3: Cross multiply
   10,415.16x = 15,623.78 × 3,840.50
4. Step 4: Simplify right side
   10,415.16x = 60,003,029.77
5. Step 5: Solve for x
   x = 60,003,029.77/10,415.16
6. Step 6: Final answer
   x = 5,761.12