Finding the Fourth Proportional to 9,922.30, 13,691.84 and 5,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,922.30 : 13,691.84 = 5,672.50 : x
2. Step 2: Convert to fraction form
   9,922.30/13,691.84 = 5,672.50/x
3. Step 3: Cross multiply
   9,922.30x = 13,691.84 × 5,672.50
4. Step 4: Simplify right side
   9,922.30x = 77,666,899.81
5. Step 5: Solve for x
   x = 77,666,899.81/9,922.30
6. Step 6: Final answer
   x = 7,827.51