Finding the Fourth Proportional to 9,938.84, 13,714.80 and 5,462.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,938.84 : 13,714.80 = 5,462.48 : x
2. Step 2: Convert to fraction form
   9,938.84/13,714.80 = 5,462.48/x
3. Step 3: Cross multiply
   9,938.84x = 13,714.80 × 5,462.48
4. Step 4: Simplify right side
   9,938.84x = 74,916,820.70
5. Step 5: Solve for x
   x = 74,916,820.70/9,938.84
6. Step 6: Final answer
   x = 7,537.78