Finding the Fourth Proportional to 8,538.74, 12,801.88 and 5,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,538.74 : 12,801.88 = 5,758.50 : x
2. Step 2: Convert to fraction form
   8,538.74/12,801.88 = 5,758.50/x
3. Step 3: Cross multiply
   8,538.74x = 12,801.88 × 5,758.50
4. Step 4: Simplify right side
   8,538.74x = 73,719,625.98
5. Step 5: Solve for x
   x = 73,719,625.98/8,538.74
6. Step 6: Final answer
   x = 8,633.55