Finding the Fourth Proportional to 5,561.34, 8,345.61 and 5,116.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,561.34 : 8,345.61 = 5,116.38 : x
2. Step 2: Convert to fraction form
   5,561.34/8,345.61 = 5,116.38/x
3. Step 3: Cross multiply
   5,561.34x = 8,345.61 × 5,116.38
4. Step 4: Simplify right side
   5,561.34x = 42,699,312.09
5. Step 5: Solve for x
   x = 42,699,312.09/5,561.34
6. Step 6: Final answer
   x = 7,677.88