Finding the Fourth Proportional to 9,724.86, 14,588.64 and 3,148.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,724.86 : 14,588.64 = 3,148.92 : x
2. Step 2: Convert to fraction form
   9,724.86/14,588.64 = 3,148.92/x
3. Step 3: Cross multiply
   9,724.86x = 14,588.64 × 3,148.92
4. Step 4: Simplify right side
   9,724.86x = 45,938,460.27
5. Step 5: Solve for x
   x = 45,938,460.27/9,724.86
6. Step 6: Final answer
   x = 4,723.82