Finding the Fourth Proportional to 9,970.06, 13,757.82 and 5,492.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,970.06 : 13,757.82 = 5,492.71 : x
2. Step 2: Convert to fraction form
   9,970.06/13,757.82 = 5,492.71/x
3. Step 3: Cross multiply
   9,970.06x = 13,757.82 × 5,492.71
4. Step 4: Simplify right side
   9,970.06x = 75,567,758.44
5. Step 5: Solve for x
   x = 75,567,758.44/9,970.06
6. Step 6: Final answer
   x = 7,579.47