Finding the Fourth Proportional to 9,819.06, 13,548.78 and 5,626.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,819.06 : 13,548.78 = 5,626.50 : x
2. Step 2: Convert to fraction form
   9,819.06/13,548.78 = 5,626.50/x
3. Step 3: Cross multiply
   9,819.06x = 13,548.78 × 5,626.50
4. Step 4: Simplify right side
   9,819.06x = 76,232,210.67
5. Step 5: Solve for x
   x = 76,232,210.67/9,819.06
6. Step 6: Final answer
   x = 7,763.70