Finding the Fourth Proportional to 9,762.96, 14,639.55 and 3,188.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,762.96 : 14,639.55 = 3,188.40 : x
2. Step 2: Convert to fraction form
   9,762.96/14,639.55 = 3,188.40/x
3. Step 3: Cross multiply
   9,762.96x = 14,639.55 × 3,188.40
4. Step 4: Simplify right side
   9,762.96x = 46,676,741.22
5. Step 5: Solve for x
   x = 46,676,741.22/9,762.96
6. Step 6: Final answer
   x = 4,781.00