Finding the Fourth Proportional to 9,607.74, 13,256.42 and 5,830.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,607.74 : 13,256.42 = 5,830.82 : x
2. Step 2: Convert to fraction form
   9,607.74/13,256.42 = 5,830.82/x
3. Step 3: Cross multiply
   9,607.74x = 13,256.42 × 5,830.82
4. Step 4: Simplify right side
   9,607.74x = 77,295,703.43
5. Step 5: Solve for x
   x = 77,295,703.43/9,607.74
6. Step 6: Final answer
   x = 8,045.15