Finding the Fourth Proportional to 9,727.83, 14,577.98 and 7,526.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,727.83 : 14,577.98 = 7,526.25 : x
2. Step 2: Convert to fraction form
   9,727.83/14,577.98 = 7,526.25/x
3. Step 3: Cross multiply
   9,727.83x = 14,577.98 × 7,526.25
4. Step 4: Simplify right side
   9,727.83x = 109,717,484.34
5. Step 5: Solve for x
   x = 109,717,484.34/9,727.83
6. Step 6: Final answer
   x = 11,278.72