Finding the Fourth Proportional to 9,793.86, 14,653.98 and 5,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,793.86 : 14,653.98 = 5,830.50 : x
2. Step 2: Convert to fraction form
   9,793.86/14,653.98 = 5,830.50/x
3. Step 3: Cross multiply
   9,793.86x = 14,653.98 × 5,830.50
4. Step 4: Simplify right side
   9,793.86x = 85,440,030.39
5. Step 5: Solve for x
   x = 85,440,030.39/9,793.86
6. Step 6: Final answer
   x = 8,723.84