Finding the Fourth Proportional to 19,577, 27,038.69 and 12,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,577 : 27,038.69 = 12,892.50 : x
2. Step 2: Convert to fraction form
   19,577/27,038.69 = 12,892.50/x
3. Step 3: Cross multiply
   19,577x = 27,038.69 × 12,892.50
4. Step 4: Simplify right side
   19,577x = 348,596,310.83
5. Step 5: Solve for x
   x = 348,596,310.83/19,577
6. Step 6: Final answer
   x = 17,806.42