Finding the Fourth Proportional to 12,727.59, 19,084.14 and 5,229.02

Step by Step Solution

1. Step 1: Write the proportion equation
   12,727.59 : 19,084.14 = 5,229.02 : x
2. Step 2: Convert to fraction form
   12,727.59/19,084.14 = 5,229.02/x
3. Step 3: Cross multiply
   12,727.59x = 19,084.14 × 5,229.02
4. Step 4: Simplify right side
   12,727.59x = 99,791,254.32
5. Step 5: Solve for x
   x = 99,791,254.32/12,727.59
6. Step 6: Final answer
   x = 7,840.55