Finding the Fourth Proportional to 9,762.08, 14,641.56 and 3,188.21

Step by Step Solution

1. Step 1: Write the proportion equation
   9,762.08 : 14,641.56 = 3,188.21 : x
2. Step 2: Convert to fraction form
   9,762.08/14,641.56 = 3,188.21/x
3. Step 3: Cross multiply
   9,762.08x = 14,641.56 × 3,188.21
4. Step 4: Simplify right side
   9,762.08x = 46,680,294.80
5. Step 5: Solve for x
   x = 46,680,294.80/9,762.08
6. Step 6: Final answer
   x = 4,781.80