Finding the Fourth Proportional to 7,024.77, 9,685.74 and 5,681.82

Step by Step Solution

1. Step 1: Write the proportion equation
   7,024.77 : 9,685.74 = 5,681.82 : x
2. Step 2: Convert to fraction form
   7,024.77/9,685.74 = 5,681.82/x
3. Step 3: Cross multiply
   7,024.77x = 9,685.74 × 5,681.82
4. Step 4: Simplify right side
   7,024.77x = 55,032,631.25
5. Step 5: Solve for x
   x = 55,032,631.25/7,024.77
6. Step 6: Final answer
   x = 7,834.08