Finding the Fourth Proportional to 10,353.42, 14,280.50 and 7,827.44

Step by Step Solution

1. Step 1: Write the proportion equation
   10,353.42 : 14,280.50 = 7,827.44 : x
2. Step 2: Convert to fraction form
   10,353.42/14,280.50 = 7,827.44/x
3. Step 3: Cross multiply
   10,353.42x = 14,280.50 × 7,827.44
4. Step 4: Simplify right side
   10,353.42x = 111,779,705.09
5. Step 5: Solve for x
   x = 111,779,705.09/10,353.42
6. Step 6: Final answer
   x = 10,796.40