Finding the Fourth Proportional to 9,182.31, 12,670.56 and 5,202.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,182.31 : 12,670.56 = 5,202.57 : x
2. Step 2: Convert to fraction form
   9,182.31/12,670.56 = 5,202.57/x
3. Step 3: Cross multiply
   9,182.31x = 12,670.56 × 5,202.57
4. Step 4: Simplify right side
   9,182.31x = 65,919,475.34
5. Step 5: Solve for x
   x = 65,919,475.34/9,182.31
6. Step 6: Final answer
   x = 7,178.96