Finding the Fourth Proportional to 10,214.52, 14,095.35 and 5,738.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214.52 : 14,095.35 = 5,738.70 : x
2. Step 2: Convert to fraction form
   10,214.52/14,095.35 = 5,738.70/x
3. Step 3: Cross multiply
   10,214.52x = 14,095.35 × 5,738.70
4. Step 4: Simplify right side
   10,214.52x = 80,888,985.05
5. Step 5: Solve for x
   x = 80,888,985.05/10,214.52
6. Step 6: Final answer
   x = 7,919.02