Finding the Fourth Proportional to 9,898.68, 13,653.42 and 5,705.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,898.68 : 13,653.42 = 5,705.40 : x
2. Step 2: Convert to fraction form
   9,898.68/13,653.42 = 5,705.40/x
3. Step 3: Cross multiply
   9,898.68x = 13,653.42 × 5,705.40
4. Step 4: Simplify right side
   9,898.68x = 77,898,222.47
5. Step 5: Solve for x
   x = 77,898,222.47/9,898.68
6. Step 6: Final answer
   x = 7,869.56