Finding the Fourth Proportional to 9,119.74, 12,583.63 and 5,141.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,119.74 : 12,583.63 = 5,141.02 : x
2. Step 2: Convert to fraction form
   9,119.74/12,583.63 = 5,141.02/x
3. Step 3: Cross multiply
   9,119.74x = 12,583.63 × 5,141.02
4. Step 4: Simplify right side
   9,119.74x = 64,692,693.50
5. Step 5: Solve for x
   x = 64,692,693.50/9,119.74
6. Step 6: Final answer
   x = 7,093.70