Finding the Fourth Proportional to 10,156.58, 14,014.85 and 5,618.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,156.58 : 14,014.85 = 5,618.64 : x
2. Step 2: Convert to fraction form
   10,156.58/14,014.85 = 5,618.64/x
3. Step 3: Cross multiply
   10,156.58x = 14,014.85 × 5,618.64
4. Step 4: Simplify right side
   10,156.58x = 78,744,368.71
5. Step 5: Solve for x
   x = 78,744,368.71/10,156.58
6. Step 6: Final answer
   x = 7,753.04