Finding the Fourth Proportional to 10,458.46, 14,432.88 and 5,743

Step by Step Solution

1. Step 1: Write the proportion equation
   10,458.46 : 14,432.88 = 5,743 : x
2. Step 2: Convert to fraction form
   10,458.46/14,432.88 = 5,743/x
3. Step 3: Cross multiply
   10,458.46x = 14,432.88 × 5,743
4. Step 4: Simplify right side
   10,458.46x = 82,888,029.84
5. Step 5: Solve for x
   x = 82,888,029.84/10,458.46
6. Step 6: Final answer
   x = 7,925.45