Finding the Fourth Proportional to 21,458, 32,199.96 and 9,146

Step by Step Solution

1. Step 1: Write the proportion equation
   21,458 : 32,199.96 = 9,146 : x
2. Step 2: Convert to fraction form
   21,458/32,199.96 = 9,146/x
3. Step 3: Cross multiply
   21,458x = 32,199.96 × 9,146
4. Step 4: Simplify right side
   21,458x = 294,500,834.16
5. Step 5: Solve for x
   x = 294,500,834.16/21,458
6. Step 6: Final answer
   x = 13,724.52