Finding the Fourth Proportional to 10,415.77, 14,376.78 and 5,941.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,415.77 : 14,376.78 = 5,941.96 : x
2. Step 2: Convert to fraction form
   10,415.77/14,376.78 = 5,941.96/x
3. Step 3: Cross multiply
   10,415.77x = 14,376.78 × 5,941.96
4. Step 4: Simplify right side
   10,415.77x = 85,426,251.69
5. Step 5: Solve for x
   x = 85,426,251.69/10,415.77
6. Step 6: Final answer
   x = 8,201.63