Finding the Fourth Proportional to 10,417.68, 14,376.42 and 5,941.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,417.68 : 14,376.42 = 5,941.62 : x
2. Step 2: Convert to fraction form
   10,417.68/14,376.42 = 5,941.62/x
3. Step 3: Cross multiply
   10,417.68x = 14,376.42 × 5,941.62
4. Step 4: Simplify right side
   10,417.68x = 85,419,224.60
5. Step 5: Solve for x
   x = 85,419,224.60/10,417.68
6. Step 6: Final answer
   x = 8,199.45