Finding the Fourth Proportional to 9,937.82, 13,714.45 and 5,461.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,937.82 : 13,714.45 = 5,461.69 : x
2. Step 2: Convert to fraction form
   9,937.82/13,714.45 = 5,461.69/x
3. Step 3: Cross multiply
   9,937.82x = 13,714.45 × 5,461.69
4. Step 4: Simplify right side
   9,937.82x = 74,904,026.48
5. Step 5: Solve for x
   x = 74,904,026.48/9,937.82
6. Step 6: Final answer
   x = 7,537.27