Finding the Fourth Proportional to 10,547.40, 15,828.78 and 7,781.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,547.40 : 15,828.78 = 7,781.52 : x
2. Step 2: Convert to fraction form
   10,547.40/15,828.78 = 7,781.52/x
3. Step 3: Cross multiply
   10,547.40x = 15,828.78 × 7,781.52
4. Step 4: Simplify right side
   10,547.40x = 123,171,968.15
5. Step 5: Solve for x
   x = 123,171,968.15/10,547.40
6. Step 6: Final answer
   x = 11,677.95