Finding the Fourth Proportional to 9,633.16, 13,294.02 and 5,905

Step by Step Solution

1. Step 1: Write the proportion equation
   9,633.16 : 13,294.02 = 5,905 : x
2. Step 2: Convert to fraction form
   9,633.16/13,294.02 = 5,905/x
3. Step 3: Cross multiply
   9,633.16x = 13,294.02 × 5,905
4. Step 4: Simplify right side
   9,633.16x = 78,501,188.10
5. Step 5: Solve for x
   x = 78,501,188.10/9,633.16
6. Step 6: Final answer
   x = 8,149.06