Finding the Fourth Proportional to 9,100.96, 12,559.84 and 5,563.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,100.96 : 12,559.84 = 5,563.60 : x
2. Step 2: Convert to fraction form
   9,100.96/12,559.84 = 5,563.60/x
3. Step 3: Cross multiply
   9,100.96x = 12,559.84 × 5,563.60
4. Step 4: Simplify right side
   9,100.96x = 69,877,925.82
5. Step 5: Solve for x
   x = 69,877,925.82/9,100.96
6. Step 6: Final answer
   x = 7,678.08