Finding the Fourth Proportional to 10,402.74, 14,355.17 and 5,926.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402.74 : 14,355.17 = 5,926.46 : x
2. Step 2: Convert to fraction form
   10,402.74/14,355.17 = 5,926.46/x
3. Step 3: Cross multiply
   10,402.74x = 14,355.17 × 5,926.46
4. Step 4: Simplify right side
   10,402.74x = 85,075,239.39
5. Step 5: Solve for x
   x = 85,075,239.39/10,402.74
6. Step 6: Final answer
   x = 8,178.16