Finding the Fourth Proportional to 9,788.96, 14,647.02 and 5,842.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,788.96 : 14,647.02 = 5,842.32 : x
2. Step 2: Convert to fraction form
   9,788.96/14,647.02 = 5,842.32/x
3. Step 3: Cross multiply
   9,788.96x = 14,647.02 × 5,842.32
4. Step 4: Simplify right side
   9,788.96x = 85,572,577.89
5. Step 5: Solve for x
   x = 85,572,577.89/9,788.96
6. Step 6: Final answer
   x = 8,741.74