Finding the Fourth Proportional to 9,897.05, 13,657.96 and 5,420.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,897.05 : 13,657.96 = 5,420.71 : x
2. Step 2: Convert to fraction form
   9,897.05/13,657.96 = 5,420.71/x
3. Step 3: Cross multiply
   9,897.05x = 13,657.96 × 5,420.71
4. Step 4: Simplify right side
   9,897.05x = 74,035,808.60
5. Step 5: Solve for x
   x = 74,035,808.60/9,897.05
6. Step 6: Final answer
   x = 7,480.59