Finding the Fourth Proportional to 9,787.61, 13,507.56 and 5,538.67

Step by Step Solution

1. Step 1: Write the proportion equation
   9,787.61 : 13,507.56 = 5,538.67 : x
2. Step 2: Convert to fraction form
   9,787.61/13,507.56 = 5,538.67/x
3. Step 3: Cross multiply
   9,787.61x = 13,507.56 × 5,538.67
4. Step 4: Simplify right side
   9,787.61x = 74,813,883.58
5. Step 5: Solve for x
   x = 74,813,883.58/9,787.61
6. Step 6: Final answer
   x = 7,643.74