Finding the Fourth Proportional to 9,492.50, 14,238.72 and 2,567.00

Step by Step Solution

1. Step 1: Write the proportion equation
   9,492.50 : 14,238.72 = 2,567.00 : x
2. Step 2: Convert to fraction form
   9,492.50/14,238.72 = 2,567.00/x
3. Step 3: Cross multiply
   9,492.50x = 14,238.72 × 2,567.00
4. Step 4: Simplify right side
   9,492.50x = 36,550,829.84
5. Step 5: Solve for x
   x = 36,550,829.84/9,492.50
6. Step 6: Final answer
   x = 3,850.49