Finding the Fourth Proportional to 9,761.78, 14,643.58 and 3,188.00

Step by Step Solution

1. Step 1: Write the proportion equation
   9,761.78 : 14,643.58 = 3,188.00 : x
2. Step 2: Convert to fraction form
   9,761.78/14,643.58 = 3,188.00/x
3. Step 3: Cross multiply
   9,761.78x = 14,643.58 × 3,188.00
4. Step 4: Simplify right side
   9,761.78x = 46,683,753.71
5. Step 5: Solve for x
   x = 46,683,753.71/9,761.78
6. Step 6: Final answer
   x = 4,782.30