Finding the Fourth Proportional to 10,402.21, 14,356.50 and 5,926.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402.21 : 14,356.50 = 5,926.35 : x
2. Step 2: Convert to fraction form
   10,402.21/14,356.50 = 5,926.35/x
3. Step 3: Cross multiply
   10,402.21x = 14,356.50 × 5,926.35
4. Step 4: Simplify right side
   10,402.21x = 85,081,643.78
5. Step 5: Solve for x
   x = 85,081,643.78/10,402.21
6. Step 6: Final answer
   x = 8,179.19