Finding the Fourth Proportional to 10,382.92, 14,323.74 and 7,543

Step by Step Solution

1. Step 1: Write the proportion equation
   10,382.92 : 14,323.74 = 7,543 : x
2. Step 2: Convert to fraction form
   10,382.92/14,323.74 = 7,543/x
3. Step 3: Cross multiply
   10,382.92x = 14,323.74 × 7,543
4. Step 4: Simplify right side
   10,382.92x = 108,043,970.82
5. Step 5: Solve for x
   x = 108,043,970.82/10,382.92
6. Step 6: Final answer
   x = 10,405.93