Finding the Fourth Proportional to 9,776.86, 13,492.07 and 5,300.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,776.86 : 13,492.07 = 5,300.61 : x
2. Step 2: Convert to fraction form
   9,776.86/13,492.07 = 5,300.61/x
3. Step 3: Cross multiply
   9,776.86x = 13,492.07 × 5,300.61
4. Step 4: Simplify right side
   9,776.86x = 71,516,201.16
5. Step 5: Solve for x
   x = 71,516,201.16/9,776.86
6. Step 6: Final answer
   x = 7,314.84