Finding the Fourth Proportional to 9,787.56, 13,506.71 and 5,538.90

Step by Step Solution

1. Step 1: Write the proportion equation
   9,787.56 : 13,506.71 = 5,538.90 : x
2. Step 2: Convert to fraction form
   9,787.56/13,506.71 = 5,538.90/x
3. Step 3: Cross multiply
   9,787.56x = 13,506.71 × 5,538.90
4. Step 4: Simplify right side
   9,787.56x = 74,812,316.02
5. Step 5: Solve for x
   x = 74,812,316.02/9,787.56
6. Step 6: Final answer
   x = 7,643.61