Finding the Fourth Proportional to 9,895.74, 13,656.14 and 5,419.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,895.74 : 13,656.14 = 5,419.78 : x
2. Step 2: Convert to fraction form
   9,895.74/13,656.14 = 5,419.78/x
3. Step 3: Cross multiply
   9,895.74x = 13,656.14 × 5,419.78
4. Step 4: Simplify right side
   9,895.74x = 74,013,274.45
5. Step 5: Solve for x
   x = 74,013,274.45/9,895.74
6. Step 6: Final answer
   x = 7,479.31