Finding the Fourth Proportional to 9,897.83, 13,658.42 and 5,420.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,897.83 : 13,658.42 = 5,420.69 : x
2. Step 2: Convert to fraction form
   9,897.83/13,658.42 = 5,420.69/x
3. Step 3: Cross multiply
   9,897.83x = 13,658.42 × 5,420.69
4. Step 4: Simplify right side
   9,897.83x = 74,038,060.71
5. Step 5: Solve for x
   x = 74,038,060.71/9,897.83
6. Step 6: Final answer
   x = 7,480.23