Finding the Fourth Proportional to 9,938.00, 13,714.15 and 5,461.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,938.00 : 13,714.15 = 5,461.75 : x
2. Step 2: Convert to fraction form
   9,938.00/13,714.15 = 5,461.75/x
3. Step 3: Cross multiply
   9,938.00x = 13,714.15 × 5,461.75
4. Step 4: Simplify right side
   9,938.00x = 74,903,258.76
5. Step 5: Solve for x
   x = 74,903,258.76/9,938.00
6. Step 6: Final answer
   x = 7,537.06