Finding the Fourth Proportional to 9,026.58, 13,538.52 and 3,181.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,026.58 : 13,538.52 = 3,181.82 : x
2. Step 2: Convert to fraction form
   9,026.58/13,538.52 = 3,181.82/x
3. Step 3: Cross multiply
   9,026.58x = 13,538.52 × 3,181.82
4. Step 4: Simplify right side
   9,026.58x = 43,077,167.55
5. Step 5: Solve for x
   x = 43,077,167.55/9,026.58
6. Step 6: Final answer
   x = 4,772.26