Finding the Fourth Proportional to 9,941.06, 13,718.95 and 5,692.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,941.06 : 13,718.95 = 5,692.50 : x
2. Step 2: Convert to fraction form
   9,941.06/13,718.95 = 5,692.50/x
3. Step 3: Cross multiply
   9,941.06x = 13,718.95 × 5,692.50
4. Step 4: Simplify right side
   9,941.06x = 78,095,108.64
5. Step 5: Solve for x
   x = 78,095,108.64/9,941.06
6. Step 6: Final answer
   x = 7,855.81