Finding the Fourth Proportional to 13,182.06, 19,765.89 and 5,384.46

Step by Step Solution

1. Step 1: Write the proportion equation
   13,182.06 : 19,765.89 = 5,384.46 : x
2. Step 2: Convert to fraction form
   13,182.06/19,765.89 = 5,384.46/x
3. Step 3: Cross multiply
   13,182.06x = 19,765.89 × 5,384.46
4. Step 4: Simplify right side
   13,182.06x = 106,428,644.07
5. Step 5: Solve for x
   x = 106,428,644.07/13,182.06
6. Step 6: Final answer
   x = 8,073.75