Finding the Fourth Proportional to 10,022.04, 13,836.24 and 8,914.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.04 : 13,836.24 = 8,914.77 : x
2. Step 2: Convert to fraction form
   10,022.04/13,836.24 = 8,914.77/x
3. Step 3: Cross multiply
   10,022.04x = 13,836.24 × 8,914.77
4. Step 4: Simplify right side
   10,022.04x = 123,346,897.26
5. Step 5: Solve for x
   x = 123,346,897.26/10,022.04
6. Step 6: Final answer
   x = 12,307.56