Finding the Fourth Proportional to 9,886.33, 13,638.54 and 5,692.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,886.33 : 13,638.54 = 5,692.15 : x
2. Step 2: Convert to fraction form
   9,886.33/13,638.54 = 5,692.15/x
3. Step 3: Cross multiply
   9,886.33x = 13,638.54 × 5,692.15
4. Step 4: Simplify right side
   9,886.33x = 77,632,615.46
5. Step 5: Solve for x
   x = 77,632,615.46/9,886.33
6. Step 6: Final answer
   x = 7,852.52