Finding the Fourth Proportional to 9,196.10, 12,688.69 and 5,834.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,196.10 : 12,688.69 = 5,834.96 : x
2. Step 2: Convert to fraction form
   9,196.10/12,688.69 = 5,834.96/x
3. Step 3: Cross multiply
   9,196.10x = 12,688.69 × 5,834.96
4. Step 4: Simplify right side
   9,196.10x = 74,037,905.98
5. Step 5: Solve for x
   x = 74,037,905.98/9,196.10
6. Step 6: Final answer
   x = 8,051.02