Finding the Fourth Proportional to 9,610.84, 13,264.14 and 5,419

Step by Step Solution

1. Step 1: Write the proportion equation
   9,610.84 : 13,264.14 = 5,419 : x
2. Step 2: Convert to fraction form
   9,610.84/13,264.14 = 5,419/x
3. Step 3: Cross multiply
   9,610.84x = 13,264.14 × 5,419
4. Step 4: Simplify right side
   9,610.84x = 71,878,374.66
5. Step 5: Solve for x
   x = 71,878,374.66/9,610.84
6. Step 6: Final answer
   x = 7,478.89