Finding the Fourth Proportional to 9,871.32, 13,624.84 and 5,624.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,871.32 : 13,624.84 = 5,624.88 : x
2. Step 2: Convert to fraction form
   9,871.32/13,624.84 = 5,624.88/x
3. Step 3: Cross multiply
   9,871.32x = 13,624.84 × 5,624.88
4. Step 4: Simplify right side
   9,871.32x = 76,638,090.02
5. Step 5: Solve for x
   x = 76,638,090.02/9,871.32
6. Step 6: Final answer
   x = 7,763.71