Finding the Fourth Proportional to 9,970.82, 14,947.01 and 5,585.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,970.82 : 14,947.01 = 5,585.20 : x
2. Step 2: Convert to fraction form
   9,970.82/14,947.01 = 5,585.20/x
3. Step 3: Cross multiply
   9,970.82x = 14,947.01 × 5,585.20
4. Step 4: Simplify right side
   9,970.82x = 83,482,064.27
5. Step 5: Solve for x
   x = 83,482,064.27/9,970.82
6. Step 6: Final answer
   x = 8,372.64