Finding the Fourth Proportional to 9,953.76, 14,914.23 and 5,782.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,953.76 : 14,914.23 = 5,782.05 : x
2. Step 2: Convert to fraction form
   9,953.76/14,914.23 = 5,782.05/x
3. Step 3: Cross multiply
   9,953.76x = 14,914.23 × 5,782.05
4. Step 4: Simplify right side
   9,953.76x = 86,234,823.57
5. Step 5: Solve for x
   x = 86,234,823.57/9,953.76
6. Step 6: Final answer
   x = 8,663.54