Finding the Fourth Proportional to 9,762.90, 13,472.82 and 5,785.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,762.90 : 13,472.82 = 5,785.98 : x
2. Step 2: Convert to fraction form
   9,762.90/13,472.82 = 5,785.98/x
3. Step 3: Cross multiply
   9,762.90x = 13,472.82 × 5,785.98
4. Step 4: Simplify right side
   9,762.90x = 77,953,467.06
5. Step 5: Solve for x
   x = 77,953,467.06/9,762.90
6. Step 6: Final answer
   x = 7,984.66