Finding the Fourth Proportional to 9,263.84, 12,784.80 and 5,678.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,263.84 : 12,784.80 = 5,678.76 : x
2. Step 2: Convert to fraction form
   9,263.84/12,784.80 = 5,678.76/x
3. Step 3: Cross multiply
   9,263.84x = 12,784.80 × 5,678.76
4. Step 4: Simplify right side
   9,263.84x = 72,601,810.85
5. Step 5: Solve for x
   x = 72,601,810.85/9,263.84
6. Step 6: Final answer
   x = 7,837.12