Finding the Fourth Proportional to 9,874.32, 13,631.76 and 7,853.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,874.32 : 13,631.76 = 7,853.76 : x
2. Step 2: Convert to fraction form
   9,874.32/13,631.76 = 7,853.76/x
3. Step 3: Cross multiply
   9,874.32x = 13,631.76 × 7,853.76
4. Step 4: Simplify right side
   9,874.32x = 107,060,571.42
5. Step 5: Solve for x
   x = 107,060,571.42/9,874.32
6. Step 6: Final answer
   x = 10,842.32