Finding the Fourth Proportional to 9,971.64, 13,760.82 and 5,495.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,971.64 : 13,760.82 = 5,495.58 : x
2. Step 2: Convert to fraction form
   9,971.64/13,760.82 = 5,495.58/x
3. Step 3: Cross multiply
   9,971.64x = 13,760.82 × 5,495.58
4. Step 4: Simplify right side
   9,971.64x = 75,623,687.18
5. Step 5: Solve for x
   x = 75,623,687.18/9,971.64
6. Step 6: Final answer
   x = 7,583.88