Finding the Fourth Proportional to 9,827.01, 13,561.25 and 5,350.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,827.01 : 13,561.25 = 5,350.80 : x
2. Step 2: Convert to fraction form
   9,827.01/13,561.25 = 5,350.80/x
3. Step 3: Cross multiply
   9,827.01x = 13,561.25 × 5,350.80
4. Step 4: Simplify right side
   9,827.01x = 72,563,509.75
5. Step 5: Solve for x
   x = 72,563,509.75/9,827.01
6. Step 6: Final answer
   x = 7,384.09