Finding the Fourth Proportional to 9,827.02, 13,561.32 and 5,350.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,827.02 : 13,561.32 = 5,350.78 : x
2. Step 2: Convert to fraction form
   9,827.02/13,561.32 = 5,350.78/x
3. Step 3: Cross multiply
   9,827.02x = 13,561.32 × 5,350.78
4. Step 4: Simplify right side
   9,827.02x = 72,563,676.85
5. Step 5: Solve for x
   x = 72,563,676.85/9,827.02
6. Step 6: Final answer
   x = 7,384.10