Finding the Fourth Proportional to 10,348.86, 14,281.22 and 5,633.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,348.86 : 14,281.22 = 5,633.12 : x
2. Step 2: Convert to fraction form
   10,348.86/14,281.22 = 5,633.12/x
3. Step 3: Cross multiply
   10,348.86x = 14,281.22 × 5,633.12
4. Step 4: Simplify right side
   10,348.86x = 80,447,826.01
5. Step 5: Solve for x
   x = 80,447,826.01/10,348.86
6. Step 6: Final answer
   x = 7,773.59