Finding the Fourth Proportional to 21,886.56, 32,821.81 and 7,842.82

Step by Step Solution

1. Step 1: Write the proportion equation
   21,886.56 : 32,821.81 = 7,842.82 : x
2. Step 2: Convert to fraction form
   21,886.56/32,821.81 = 7,842.82/x
3. Step 3: Cross multiply
   21,886.56x = 32,821.81 × 7,842.82
4. Step 4: Simplify right side
   21,886.56x = 257,415,547.90
5. Step 5: Solve for x
   x = 257,415,547.90/21,886.56
6. Step 6: Final answer
   x = 11,761.35