Finding the Fourth Proportional to 9,386.16, 12,948.84 and 5,658

Step by Step Solution

1. Step 1: Write the proportion equation
   9,386.16 : 12,948.84 = 5,658 : x
2. Step 2: Convert to fraction form
   9,386.16/12,948.84 = 5,658/x
3. Step 3: Cross multiply
   9,386.16x = 12,948.84 × 5,658
4. Step 4: Simplify right side
   9,386.16x = 73,264,536.72
5. Step 5: Solve for x
   x = 73,264,536.72/9,386.16
6. Step 6: Final answer
   x = 7,805.59