Finding the Fourth Proportional to 9,109.84, 12,565.80 and 5,746.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,109.84 : 12,565.80 = 5,746.78 : x
2. Step 2: Convert to fraction form
   9,109.84/12,565.80 = 5,746.78/x
3. Step 3: Cross multiply
   9,109.84x = 12,565.80 × 5,746.78
4. Step 4: Simplify right side
   9,109.84x = 72,212,888.12
5. Step 5: Solve for x
   x = 72,212,888.12/9,109.84
6. Step 6: Final answer
   x = 7,926.91