Finding the Fourth Proportional to 10,557.56, 15,838.74 and 5,624.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,557.56 : 15,838.74 = 5,624.60 : x
2. Step 2: Convert to fraction form
   10,557.56/15,838.74 = 5,624.60/x
3. Step 3: Cross multiply
   10,557.56x = 15,838.74 × 5,624.60
4. Step 4: Simplify right side
   10,557.56x = 89,086,577.00
5. Step 5: Solve for x
   x = 89,086,577.00/10,557.56
6. Step 6: Final answer
   x = 8,438.18