Finding the Fourth Proportional to 7,820.09, 10,801.20 and 5,692.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,820.09 : 10,801.20 = 5,692.25 : x
2. Step 2: Convert to fraction form
   7,820.09/10,801.20 = 5,692.25/x
3. Step 3: Cross multiply
   7,820.09x = 10,801.20 × 5,692.25
4. Step 4: Simplify right side
   7,820.09x = 61,483,116.65
5. Step 5: Solve for x
   x = 61,483,116.65/7,820.09
6. Step 6: Final answer
   x = 7,862.20