Finding the Fourth Proportional to 9,290.16, 12,820.86 and 5,312.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,290.16 : 12,820.86 = 5,312.58 : x
2. Step 2: Convert to fraction form
   9,290.16/12,820.86 = 5,312.58/x
3. Step 3: Cross multiply
   9,290.16x = 12,820.86 × 5,312.58
4. Step 4: Simplify right side
   9,290.16x = 68,111,844.42
5. Step 5: Solve for x
   x = 68,111,844.42/9,290.16
6. Step 6: Final answer
   x = 7,331.61