Finding the Fourth Proportional to 9,037.98, 13,549.68 and 5,137.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,037.98 : 13,549.68 = 5,137.02 : x
2. Step 2: Convert to fraction form
   9,037.98/13,549.68 = 5,137.02/x
3. Step 3: Cross multiply
   9,037.98x = 13,549.68 × 5,137.02
4. Step 4: Simplify right side
   9,037.98x = 69,604,977.15
5. Step 5: Solve for x
   x = 69,604,977.15/9,037.98
6. Step 6: Final answer
   x = 7,701.39