Finding the Fourth Proportional to 9,894, 13,653.72 and 5,702.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,894 : 13,653.72 = 5,702.52 : x
2. Step 2: Convert to fraction form
   9,894/13,653.72 = 5,702.52/x
3. Step 3: Cross multiply
   9,894x = 13,653.72 × 5,702.52
4. Step 4: Simplify right side
   9,894x = 77,860,611.37
5. Step 5: Solve for x
   x = 77,860,611.37/9,894
6. Step 6: Final answer
   x = 7,869.48