Finding the Fourth Proportional to 9,123.84, 12,591.80 and 5,538.51

Step by Step Solution

1. Step 1: Write the proportion equation
   9,123.84 : 12,591.80 = 5,538.51 : x
2. Step 2: Convert to fraction form
   9,123.84/12,591.80 = 5,538.51/x
3. Step 3: Cross multiply
   9,123.84x = 12,591.80 × 5,538.51
4. Step 4: Simplify right side
   9,123.84x = 69,739,810.22
5. Step 5: Solve for x
   x = 69,739,810.22/9,123.84
6. Step 6: Final answer
   x = 7,643.69