Finding the Fourth Proportional to 13,256.78, 19,870.58 and 5,461.34

Step by Step Solution

1. Step 1: Write the proportion equation
   13,256.78 : 19,870.58 = 5,461.34 : x
2. Step 2: Convert to fraction form
   13,256.78/19,870.58 = 5,461.34/x
3. Step 3: Cross multiply
   13,256.78x = 19,870.58 × 5,461.34
4. Step 4: Simplify right side
   13,256.78x = 108,519,907.68
5. Step 5: Solve for x
   x = 108,519,907.68/13,256.78
6. Step 6: Final answer
   x = 8,186.00