Finding the Fourth Proportional to 9,893.81, 13,653.50 and 5,702.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,893.81 : 13,653.50 = 5,702.06 : x
2. Step 2: Convert to fraction form
   9,893.81/13,653.50 = 5,702.06/x
3. Step 3: Cross multiply
   9,893.81x = 13,653.50 × 5,702.06
4. Step 4: Simplify right side
   9,893.81x = 77,853,081.83
5. Step 5: Solve for x
   x = 77,853,081.83/9,893.81
6. Step 6: Final answer
   x = 7,868.87