Finding the Fourth Proportional to 9,781.90, 14,672.82 and 3,461.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,781.90 : 14,672.82 = 3,461.47 : x
2. Step 2: Convert to fraction form
   9,781.90/14,672.82 = 3,461.47/x
3. Step 3: Cross multiply
   9,781.90x = 14,672.82 × 3,461.47
4. Step 4: Simplify right side
   9,781.90x = 50,789,526.25
5. Step 5: Solve for x
   x = 50,789,526.25/9,781.90
6. Step 6: Final answer
   x = 5,192.19