Finding the Fourth Proportional to 9,611.34, 13,264.02 and 5,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,611.34 : 13,264.02 = 5,419.50 : x
2. Step 2: Convert to fraction form
   9,611.34/13,264.02 = 5,419.50/x
3. Step 3: Cross multiply
   9,611.34x = 13,264.02 × 5,419.50
4. Step 4: Simplify right side
   9,611.34x = 71,884,356.39
5. Step 5: Solve for x
   x = 71,884,356.39/9,611.34
6. Step 6: Final answer
   x = 7,479.12