Finding the Fourth Proportional to 21,869.83, 32,796.70 and 7,826.05

Step by Step Solution

1. Step 1: Write the proportion equation
   21,869.83 : 32,796.70 = 7,826.05 : x
2. Step 2: Convert to fraction form
   21,869.83/32,796.70 = 7,826.05/x
3. Step 3: Cross multiply
   21,869.83x = 32,796.70 × 7,826.05
4. Step 4: Simplify right side
   21,869.83x = 256,668,635.47
5. Step 5: Solve for x
   x = 256,668,635.47/21,869.83
6. Step 6: Final answer
   x = 11,736.20