Finding the Fourth Proportional to 9,102.12, 12,558.69 and 5,564.04

Step by Step Solution

1. Step 1: Write the proportion equation
   9,102.12 : 12,558.69 = 5,564.04 : x
2. Step 2: Convert to fraction form
   9,102.12/12,558.69 = 5,564.04/x
3. Step 3: Cross multiply
   9,102.12x = 12,558.69 × 5,564.04
4. Step 4: Simplify right side
   9,102.12x = 69,877,053.51
5. Step 5: Solve for x
   x = 69,877,053.51/9,102.12
6. Step 6: Final answer
   x = 7,677.01