Finding the Fourth Proportional to 9,971.82, 14,948.51 and 5,586.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,971.82 : 14,948.51 = 5,586.20 : x
2. Step 2: Convert to fraction form
   9,971.82/14,948.51 = 5,586.20/x
3. Step 3: Cross multiply
   9,971.82x = 14,948.51 × 5,586.20
4. Step 4: Simplify right side
   9,971.82x = 83,505,366.56
5. Step 5: Solve for x
   x = 83,505,366.56/9,971.82
6. Step 6: Final answer
   x = 8,374.13