Finding the Fourth Proportional to 10,214.37, 14,095.62 and 5,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214.37 : 14,095.62 = 5,737.50 : x
2. Step 2: Convert to fraction form
   10,214.37/14,095.62 = 5,737.50/x
3. Step 3: Cross multiply
   10,214.37x = 14,095.62 × 5,737.50
4. Step 4: Simplify right side
   10,214.37x = 80,873,619.75
5. Step 5: Solve for x
   x = 80,873,619.75/10,214.37
6. Step 6: Final answer
   x = 7,917.63