Finding the Fourth Proportional to 9,937.65, 13,714.83 and 5,462.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,937.65 : 13,714.83 = 5,462.27 : x
2. Step 2: Convert to fraction form
   9,937.65/13,714.83 = 5,462.27/x
3. Step 3: Cross multiply
   9,937.65x = 13,714.83 × 5,462.27
4. Step 4: Simplify right side
   9,937.65x = 74,914,074.90
5. Step 5: Solve for x
   x = 74,914,074.90/9,937.65
6. Step 6: Final answer
   x = 7,538.41