Finding the Fourth Proportional to 11,510.08, 15,878.16 and 7,266.40

Step by Step Solution

1. Step 1: Write the proportion equation
   11,510.08 : 15,878.16 = 7,266.40 : x
2. Step 2: Convert to fraction form
   11,510.08/15,878.16 = 7,266.40/x
3. Step 3: Cross multiply
   11,510.08x = 15,878.16 × 7,266.40
4. Step 4: Simplify right side
   11,510.08x = 115,377,061.82
5. Step 5: Solve for x
   x = 115,377,061.82/11,510.08
6. Step 6: Final answer
   x = 10,024.00