Finding the Fourth Proportional to 16,733.14, 23,091 and 10,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,733.14 : 23,091 = 10,022.50 : x
2. Step 2: Convert to fraction form
   16,733.14/23,091 = 10,022.50/x
3. Step 3: Cross multiply
   16,733.14x = 23,091 × 10,022.50
4. Step 4: Simplify right side
   16,733.14x = 231,429,547.50
5. Step 5: Solve for x
   x = 231,429,547.50/16,733.14
6. Step 6: Final answer
   x = 13,830.61