Finding the Fourth Proportional to 11,148.90, 15,382.95 and 7,564.35

Step by Step Solution

1. Step 1: Write the proportion equation
   11,148.90 : 15,382.95 = 7,564.35 : x
2. Step 2: Convert to fraction form
   11,148.90/15,382.95 = 7,564.35/x
3. Step 3: Cross multiply
   11,148.90x = 15,382.95 × 7,564.35
4. Step 4: Simplify right side
   11,148.90x = 116,362,017.83
5. Step 5: Solve for x
   x = 116,362,017.83/11,148.90
6. Step 6: Final answer
   x = 10,437.09