Finding the Fourth Proportional to 9,123.51, 12,588.28 and 5,538.39

Step by Step Solution

1. Step 1: Write the proportion equation
   9,123.51 : 12,588.28 = 5,538.39 : x
2. Step 2: Convert to fraction form
   9,123.51/12,588.28 = 5,538.39/x
3. Step 3: Cross multiply
   9,123.51x = 12,588.28 × 5,538.39
4. Step 4: Simplify right side
   9,123.51x = 69,718,743.02
5. Step 5: Solve for x
   x = 69,718,743.02/9,123.51
6. Step 6: Final answer
   x = 7,641.65